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147139446132 = 22357127170279
BaseRepresentation
bin1000100100001000110…
…0011100010101110100
3112001210101211022200000
42021002030130111310
54402320144234012
6151332300551300
713426152441030
oct2110214342564
9461711738600
10147139446132
1157446421748
1224624852530
1310b4ba40133
14719b8c71c0
153c628d2ddc
hex224231c574

147139446132 has 144 divisors (see below), whose sum is σ = 444286402560. Its totient is φ = 41708574432.

The previous prime is 147139446131. The next prime is 147139446137. The reversal of 147139446132 is 231644931741.

It is a happy number.

147139446132 is a `hidden beast` number, since 1 + 4 + 71 + 3 + 9 + 446 + 132 = 666.

It is a super-3 number, since 3×1471394461323 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147139446131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 778969 + ... + 949247.

It is an arithmetic number, because the mean of its divisors is an integer number (3085322240).

Almost surely, 2147139446132 is an apocalyptic number.

147139446132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147139446132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222143201280).

147139446132 is an abundant number, since it is smaller than the sum of its proper divisors (297146956428).

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

147139446132 is a wasteful number, since it uses less digits than its factorization.

147139446132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170432 (or 170418 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 147139446132 in words is "one hundred forty-seven billion, one hundred thirty-nine million, four hundred forty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 127 162 189 243 252 254 324 378 381 486 508 567 756 762 889 972 1134 1143 1524 1701 1778 2268 2286 2667 3402 3429 3556 4572 5334 6804 6858 8001 10287 10668 13716 16002 20574 24003 30861 32004 41148 48006 61722 72009 96012 123444 144018 170279 216027 288036 340558 432054 510837 681116 864108 1021674 1191953 1532511 2043348 2383906 3065022 3575859 4597533 4767812 6130044 7151718 9195066 10727577 13792599 14303436 18390132 21455154 21625433 27585198 32182731 41377797 42910308 43250866 55170396 64365462 64876299 82755594 86501732 96548193 128730924 129752598 151378031 165511188 193096386 194628897 259505196 289644579 302756062 386192772 389257794 454134093 579289158 583886691 605512124 778515588 908268186 1158578316 1167773382 1362402279 1751660073 1816536372 2335546764 2724804558 3503320146 4087206837 5254980219 5449609116 7006640292 8174413674 10509960438 12261620511 16348827348 21019920876 24523241022 36784861533 49046482044 73569723066 147139446132