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401251152104 = 231121394396793
BaseRepresentation
bin1011101011011000110…
…11101011000011101000
31102100200212211111000122
411311230123223003220
523033230243331404
6504155432422412
740663243342535
oct5655433530350
91370625744018
10401251152104
111451958a6500
1265922247a08
132bab790242a
14155c6409d8c
15a68668a3be
hex5d6c6eb0e8

401251152104 has 96 divisors (see below), whose sum is σ = 834928248000. Its totient is φ = 180635685120.

The previous prime is 401251152103. The next prime is 401251152109.

It is a happy number.

401251152104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4012511521042 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401251152103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59064932 + ... + 59071724.

It is an arithmetic number, because the mean of its divisors is an integer number (8697169250).

Almost surely, 2401251152104 is an apocalyptic number.

401251152104 is a gapful number since it is divisible by the number (44) 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 401251152104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417464124000).

401251152104 is an abundant number, since it is smaller than the sum of its proper divisors (433677095896).

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

401251152104 is a wasteful number, since it uses less digits than its factorization.

401251152104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7399 (or 7384 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

It can be divided in two parts, 401251 and 152104, that added together give a palindrome (553355).

The spelling of 401251152104 in words is "four hundred one billion, two hundred fifty-one million, one hundred fifty-two thousand, one hundred four".

Divisors: 1 2 4 8 11 22 44 88 121 139 242 278 439 484 556 878 968 1112 1529 1756 3058 3512 4829 6116 6793 9658 12232 13586 16819 19316 27172 33638 38632 53119 54344 61021 67276 74723 106238 122042 134552 149446 212476 244084 298892 424952 488168 597784 671231 821953 944227 1342462 1643906 1888454 2684924 2982127 3287812 3776908 5369848 5964254 6575624 7383541 7553816 10386497 11928508 14767082 20772994 23857016 29534164 32803397 41545988 59068328 65606794 83091976 114251467 131213588 228502934 262427176 360837367 414515653 457005868 721674734 829031306 914011736 1443349468 1658062612 2886698936 3316125224 4559672183 9119344366 18238688732 36477377464 50156394013 100312788026 200625576052 401251152104