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131141154050144 = 2572233636345221
BaseRepresentation
bin11101110100010110101101…
…111001110001000001100000
3122012022222020111200102011222
4131310112231321301001200
5114142104040414101034
61142525225305354212
736423431023116500
oct3564265571610140
9565288214612158
10131141154050144
1138870718689207
121286004b198968
135823733539404
1424553a1201a00
151026437ee212e
hex7745ade71060

131141154050144 has 72 divisors (see below), whose sum is σ = 313394776612848. Its totient is φ = 53759727732480.

The previous prime is 131141154050129. The next prime is 131141154050173. The reversal of 131141154050144 is 441050451141131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1818136547 + ... + 1818208674.

It is an arithmetic number, because the mean of its divisors is an integer number (4352705230734).

Almost surely, 2131141154050144 is an apocalyptic number.

131141154050144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131141154050144 is an abundant number, since it is smaller than the sum of its proper divisors (182253622562704).

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

131141154050144 is a wasteful number, since it uses less digits than its factorization.

131141154050144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636345268 (or 3636345253 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 35.

The spelling of 131141154050144 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred fifty-four million, fifty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 92 98 112 161 184 196 224 322 368 392 644 736 784 1127 1288 1568 2254 2576 4508 5152 9016 18032 36064 3636345221 7272690442 14545380884 25454416547 29090761768 50908833094 58181523536 83635940083 101817666188 116363047072 167271880166 178180915829 203635332376 334543760332 356361831658 407270664752 585451580581 669087520664 712723663316 814541329504 1170903161162 1338175041328 1425447326632 2341806322324 2676350082656 2850894653264 4098161064067 4683612644648 5701789306528 8196322128134 9367225289296 16392644256268 18734450578592 32785288512536 65570577025072 131141154050144