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141444656544 = 25310114587939
BaseRepresentation
bin1000001110111011000…
…0100010110110100000
3111112002112002000222010
42003232300202312200
54304134313002134
6144551225512520
713135062512652
oct2035660426640
9445075060863
10141444656544
1154a93903a74
12234b5642740
1310451c77959
146bbb4466d2
153a2c987ce9
hex20eec22da0

141444656544 has 48 divisors (see below), whose sum is σ = 374968409760. Its totient is φ = 46681401600.

The previous prime is 141444656537. The next prime is 141444656611. The reversal of 141444656544 is 445656444141.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 141444656493 and 141444656502.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7284274 + ... + 7303665.

It is an arithmetic number, because the mean of its divisors is an integer number (7811841870).

Almost surely, 2141444656544 is an apocalyptic number.

It is an amenable number.

141444656544 is an abundant number, since it is smaller than the sum of its proper divisors (233523753216).

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

141444656544 is a wasteful number, since it uses less digits than its factorization.

141444656544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14588053 (or 14588045 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 48.

The spelling of 141444656544 in words is "one hundred forty-one billion, four hundred forty-four million, six hundred fifty-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 3232 4848 9696 14587939 29175878 43763817 58351756 87527634 116703512 175055268 233407024 350110536 466814048 700221072 1400442144 1473381839 2946763678 4420145517 5893527356 8840291034 11787054712 17680582068 23574109424 35361164136 47148218848 70722328272 141444656544