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131153144423552 = 27229263125913513
BaseRepresentation
bin11101110100100001111000…
…100101011010010010000000
3122012101010012010200111022222
4131310201320211122102000
5114142303114433023202
61142534531152550212
736424334116450406
oct3564417045322200
9565333163614288
10131153144423552
1138875810965219
1212862436852368
1358248c46b0314
142455bbb835476
1510268da9b04a2
hex77487895a480

131153144423552 has 128 divisors (see below), whose sum is σ = 263649166704000. Its totient is φ = 64985488809984.

The previous prime is 131153144423449. The next prime is 131153144423593. The reversal of 131153144423552 is 255324441351131.

131153144423552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×1311531444235522 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9705694748 + ... + 9705708260.

It is an arithmetic number, because the mean of its divisors is an integer number (2059759114875).

Almost surely, 2131153144423552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131153144423552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131824583352000).

131153144423552 is an abundant number, since it is smaller than the sum of its proper divisors (132496022280448).

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

131153144423552 is a wasteful number, since it uses less digits than its factorization.

131153144423552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15278 (or 15266 counting only the distinct ones).

The product of its digits is 864000, while the sum is 44.

Adding to 131153144423552 its reverse (255324441351131), we get a palindrome (386477585774683).

The spelling of 131153144423552 in words is "one hundred thirty-one trillion, one hundred fifty-three billion, one hundred forty-four million, four hundred twenty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 229 263 458 526 916 1052 1259 1832 2104 2518 3664 4208 5036 7328 8416 10072 13513 14656 16832 20144 27026 29312 33664 40288 54052 60227 80576 108104 120454 161152 216208 240908 288311 331117 432416 481816 576622 662234 864832 963632 1153244 1324468 1729664 1927264 2306488 2648936 3094477 3553919 3854528 4612976 5297872 6188954 7107838 7709056 9225952 10595744 12377908 14215676 17012867 18451904 21191488 24755816 28431352 34025734 36903808 42382976 49511632 56862704 68051468 75825793 99023264 113725408 136102936 151651586 198046528 227450816 272205872 303303172 396093056 454901632 544411744 606606344 813847451 1088823488 1213212688 1627694902 2177646976 2426425376 3255389804 3895946543 4474384021 4852850752 6510779608 7791893086 8948768042 9705701504 13021559216 15583786172 17897536084 26043118432 31167572344 35795072168 52086236864 62335144688 71590144336 104172473728 124670289376 143180288672 249340578752 286360577344 498681157504 572721154688 1024633940809 2049267881618 4098535763236 8197071526472 16394143052944 32788286105888 65576572211776 131153144423552