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2401413102 = 2331123317351
BaseRepresentation
bin1000111100100010…
…1010011111101110
320012100200102111000
42033020222133232
514404230204402
61034142341130
7113336450244
oct21710523756
96170612430
102401413102
111022598230
1257028a7a6
132c3691bca
1418ad0a794
15e0c54c1c
hex8f22a7ee

2401413102 has 64 divisors (see below), whose sum is σ = 5846929920. Its totient is φ = 724536000.

The previous prime is 2401413029. The next prime is 2401413127. The reversal of 2401413102 is 2013141042.

2401413102 is a `hidden beast` number, since 240 + 1 + 413 + 10 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129727 + ... + 147077.

It is an arithmetic number, because the mean of its divisors is an integer number (91358280).

Almost surely, 22401413102 is an apocalyptic number.

2401413102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2401413102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923464960).

2401413102 is an abundant number, since it is smaller than the sum of its proper divisors (3445516818).

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

2401413102 is a wasteful number, since it uses less digits than its factorization.

2401413102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17606 (or 17600 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2401413102 is about 49004.2151452301. The cubic root of 2401413102 is about 1339.1286200088.

Adding to 2401413102 its reverse (2013141042), we get a palindrome (4414554144).

The spelling of 2401413102 in words is "two billion, four hundred one million, four hundred thirteen thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 233 297 466 594 699 1398 2097 2563 4194 5126 6291 7689 12582 15378 17351 23067 34702 46134 52053 69201 104106 138402 156159 190861 312318 381722 468477 572583 936954 1145166 1717749 3435498 4042783 5153247 8085566 10306494 12128349 24256698 36385047 44470613 72770094 88941226 109155141 133411839 218310282 266823678 400235517 800471034 1200706551 2401413102