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141386268576 = 25371712376249
BaseRepresentation
bin1000001110101101000…
…1110011111110100000
3111111221110012121201210
42003223101303332200
54304024341043301
6144541342230120
713133453311440
oct2035321637640
9444843177653
10141386268576
1154a63954253
1223499b85340
1310442b43667
146bb37a8120
153a277a2ad6
hex20eb473fa0

141386268576 has 96 divisors (see below), whose sum is σ = 449109360000. Its totient is φ = 38019833856.

The previous prime is 141386268539. The next prime is 141386268601. The reversal of 141386268576 is 675862683141.

141386268576 is digitally balanced in base 2, 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 (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6176701 + ... + 6199548.

It is an arithmetic number, because the mean of its divisors is an integer number (4678222500).

Almost surely, 2141386268576 is an apocalyptic number.

141386268576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

141386268576 is an abundant number, since it is smaller than the sum of its proper divisors (307723091424).

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

141386268576 is a wasteful number, since it uses less digits than its factorization.

141386268576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12376286 (or 12376278 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 57.

The spelling of 141386268576 in words is "one hundred forty-one billion, three hundred eighty-six million, two hundred sixty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 11424 12376249 24752498 37128747 49504996 74257494 86633743 99009992 148514988 173267486 198019984 210396233 259901229 297029976 346534972 396039968 420792466 519802458 594059952 631188699 693069944 841584932 1039604916 1188119904 1262377398 1386139888 1472773631 1683169864 2079209832 2524754796 2772279776 2945547262 3366339728 4158419664 4418320893 5049509592 5891094524 6732679456 8316839328 8836641786 10099019184 11782189048 17673283572 20198038368 23564378096 35346567144 47128756192 70693134288 141386268576