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10145401151032 = 2373116734994761
BaseRepresentation
bin1001001110100010100100…
…0010000001111000111000
31022220220001110011000220101
42103220221002001320320
52312210240143313112
633324422152205144
72064660332625520
oct223505102017070
938826043130811
1010145401151032
113261705506944
12117a2b63997b4
13587926a01574
1427107bc02680
15128d89e0a757
hex93a29081e38

10145401151032 has 64 divisors (see below), whose sum is σ = 22575820861440. Its totient is φ = 4182573715200.

The previous prime is 10145401150999. The next prime is 10145401151071. The reversal of 10145401151032 is 23015110454101.

It is a happy number.

It is a super-2 number, since 2×101454011510322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17207469 + ... + 17787292.

It is an arithmetic number, because the mean of its divisors is an integer number (352747200960).

Almost surely, 210145401151032 is an apocalyptic number.

It is an amenable number.

10145401151032 is an abundant number, since it is smaller than the sum of its proper divisors (12430419710408).

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

10145401151032 is a wasteful number, since it uses less digits than its factorization.

10145401151032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34994972 (or 34994968 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The spelling of 10145401151032 in words is "ten trillion, one hundred forty-five billion, four hundred one million, one hundred fifty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 167 217 248 334 434 668 868 1169 1336 1736 2338 4676 5177 9352 10354 20708 36239 41416 72478 144956 289912 34994761 69989522 139979044 244963327 279958088 489926654 979853308 1084837591 1959706616 2169675182 4339350364 5844125087 7593863137 8678700728 11688250174 15187726274 23376500348 30375452548 40908875609 46753000696 60750905096 81817751218 163635502436 181167877697 327271004872 362335755394 724671510788 1268175143879 1449343021576 2536350287758 5072700575516 10145401151032