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113541001410432 = 273476793896377
BaseRepresentation
bin11001110100001111010011…
…000011100111011110000000
3112220000102011121102020011110
4121310033103003213132000
5104340223432330113212
61041252003241043320
732626031601061131
oct3164172303473600
9486012147366143
10113541001410432
11331a5517319932
121089900b786540
134b47b4161381b
1420075b1621c88
15d1d6de430a3c
hex6743d30e7780

113541001410432 has 128 divisors (see below), whose sum is σ = 312607333347840. Its totient is φ = 36488882884608.

The previous prime is 113541001410391. The next prime is 113541001410437. The reversal of 113541001410432 is 234014100145311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 113541001410432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113541001410437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45738973 + ... + 48157404.

It is an arithmetic number, because the mean of its divisors is an integer number (2442244791780).

Almost surely, 2113541001410432 is an apocalyptic number.

113541001410432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113541001410432 is an abundant number, since it is smaller than the sum of its proper divisors (199066331937408).

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

113541001410432 is an equidigital number, since it uses as much as digits as its factorization.

113541001410432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93896508 (or 93896496 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 113541001410432 its reverse (234014100145311), we get a palindrome (347555101555743).

The spelling of 113541001410432 in words is "one hundred thirteen trillion, five hundred forty-one billion, one million, four hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 67 94 96 128 134 141 188 192 201 268 282 376 384 402 536 564 752 804 1072 1128 1504 1608 2144 2256 3008 3149 3216 4288 4512 6016 6298 6432 8576 9024 9447 12596 12864 18048 18894 25192 25728 37788 50384 75576 100768 151152 201536 302304 403072 604608 1209216 93896377 187792754 281689131 375585508 563378262 751171016 1126756524 1502342032 2253513048 3004684064 4413129719 4507026096 6009368128 6291057259 8826259438 9014052192 12018736256 12582114518 13239389157 17652518876 18028104384 18873171777 25164229036 26478778314 35305037752 36056208768 37746343554 50328458072 52957556628 70610075504 75492687108 100656916144 105915113256 141220151008 150985374216 201313832288 211830226512 282440302016 295679691173 301970748432 402627664576 423660453024 564880604032 591359382346 603941496864 805255329152 847320906048 887039073519 1182718764692 1207882993728 1694641812096 1774078147038 2365437529384 2415765987456 3548156294076 4730875058768 7096312588152 9461750117536 14192625176304 18923500235072 28385250352608 37847000470144 56770500705216 113541001410432