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1411334440 = 2351912291511
BaseRepresentation
bin101010000011111…
…0100000100101000
310122100200012212221
41110013310010220
510342300200230
6352013443424
746655100445
oct12407640450
93570605787
101411334440
116647304aa
123347a0574
13196519849
14d56229cc
1583d8327a
hex541f4128

1411334440 has 64 divisors (see below), whose sum is σ = 3347568000. Its totient is φ = 534032640.

The previous prime is 1411334437. The next prime is 1411334461. The reversal of 1411334440 is 444331141.

It is a super-2 number, since 2×14113344402 = 3983729803060227200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 933285 + ... + 934795.

It is an arithmetic number, because the mean of its divisors is an integer number (52305750).

Almost surely, 21411334440 is an apocalyptic number.

1411334440 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 1411334440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673784000).

1411334440 is an abundant number, since it is smaller than the sum of its proper divisors (1936233560).

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

1411334440 is a wasteful number, since it uses less digits than its factorization.

1411334440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 1411334440 is about 37567.7313661605. The cubic root of 1411334440 is about 1121.6998104946.

Adding to 1411334440 its reverse (444331141), we get a palindrome (1855665581).

The spelling of 1411334440 in words is "one billion, four hundred eleven million, three hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1229 1511 2458 3022 4916 6044 6145 7555 9832 12088 12290 15110 23351 24580 28709 30220 46702 49160 57418 60440 93404 114836 116755 143545 186808 229672 233510 287090 467020 574180 934040 1148360 1857019 3714038 7428076 9285095 14856152 18570190 35283361 37140380 70566722 74280760 141133444 176416805 282266888 352833610 705667220 1411334440