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401351112 = 23347872
BaseRepresentation
bin10111111011000…
…010000111001000
31000222012202020000
4113323002013020
51310221213422
6103454203000
712642266601
oct2773020710
91028182200
10401351112
11196609038
12b24b3460
13651c5586
143b436da8
152537dcac
hex17ec21c8

401351112 has 60 divisors (see below), whose sum is σ = 1125584955. Its totient is φ = 133613712.

The previous prime is 401351101. The next prime is 401351123. The reversal of 401351112 is 211153104.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (401351101) and next prime (401351123).

It can be written as a sum of positive squares in only one way, i.e., 200675556 + 200675556 = 14166^2 + 14166^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=14166.

It is a super-2 number, since 2×4013511122 = 322165430207273088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 509583 + ... + 510369.

Almost surely, 2401351112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401351112

401351112 is an abundant number, since it is smaller than the sum of its proper divisors (724233843).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

401351112 is an frugal number, since it uses more digits than its factorization.

401351112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 401351112 is about 20033.7493245773. The cubic root of 401351112 is about 737.6349572806.

Multiplying 401351112 by its sum of digits (18), we get a square (7224320016 = 849962).

401351112 divided by its sum of digits (18) gives a square (22297284 = 47222).

The spelling of 401351112 in words is "four hundred one million, three hundred fifty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 787 1574 2361 3148 4722 6296 7083 9444 14166 18888 21249 28332 42498 56664 63747 84996 127494 169992 254988 509976 619369 1238738 1858107 2477476 3716214 4954952 5574321 7432428 11148642 14864856 16722963 22297284 33445926 44594568 50168889 66891852 100337778 133783704 200675556 401351112