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1415114300 = 2252191096833
BaseRepresentation
bin101010001011000…
…1110111000111100
310122121210020212202
41110112032320330
510344232124200
6352230451032
750032162445
oct12426167074
93577706782
101415114300
11666882356
12335b03a78
13197241152
14d5d282cc
158437d1d5
hex5458ee3c

1415114300 has 72 divisors (see below), whose sum is σ = 3262551600. Its totient is φ = 531256320.

The previous prime is 1415114293. The next prime is 1415114317. The reversal of 1415114300 is 34115141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203684 + ... + 210516.

Almost surely, 21415114300 is an apocalyptic number.

1415114300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1415114300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631275800).

1415114300 is an abundant number, since it is smaller than the sum of its proper divisors (1847437300).

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

1415114300 is a wasteful number, since it uses less digits than its factorization.

1415114300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6975 (or 6968 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1415114300 is about 37618.0049976072. The cubic root of 1415114300 is about 1122.7003030431.

Adding to 1415114300 its reverse (34115141), we get a palindrome (1449229441).

The spelling of 1415114300 in words is "one billion, four hundred fifteen million, one hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 109 190 218 380 436 475 545 950 1090 1900 2071 2180 2725 4142 5450 6833 8284 10355 10900 13666 20710 27332 34165 41420 51775 68330 103550 129827 136660 170825 207100 259654 341650 519308 649135 683300 744797 1298270 1489594 2596540 2979188 3245675 3723985 6491350 7447970 12982700 14151143 14895940 18619925 28302286 37239850 56604572 70755715 74479700 141511430 283022860 353778575 707557150 1415114300