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151542270144 = 2634108726893
BaseRepresentation
bin1000110100100010011…
…1111000100011000000
3112111011020111221210000
42031020213320203000
54440324310121034
6153341220440000
713643234020446
oct2151047704300
9474136457700
10151542270144
11592a572a581
1225453249000
13113a0c51645
147498538b96
153e1e1c8599
hex23489f88c0

151542270144 has 140 divisors (see below), whose sum is σ = 449648746624. Its totient is φ = 50465742336.

The previous prime is 151542270133. The next prime is 151542270149. The reversal of 151542270144 is 441072245151.

151542270144 is a `hidden beast` number, since 1 + 5 + 1 + 542 + 2 + 70 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 151542270099 and 151542270108.

It is not an unprimeable number, because it can be changed into a prime (151542270149) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5621562 + ... + 5648454.

Almost surely, 2151542270144 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 151542270144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224824373312).

151542270144 is an abundant number, since it is smaller than the sum of its proper divisors (298106476480).

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

151542270144 is a wasteful number, since it uses less digits than its factorization.

151542270144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28004 (or 27985 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 151542270144 in words is "one hundred fifty-one billion, five hundred forty-two million, two hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1087 1296 1728 2174 2592 3261 4348 5184 6522 8696 9783 13044 17392 19566 26088 26893 29349 34784 39132 52176 53786 58698 69568 78264 80679 88047 104352 107572 117396 156528 161358 176094 208704 215144 234792 242037 313056 322716 352188 430288 469584 484074 626112 645432 704376 726111 860576 939168 968148 1290864 1408752 1452222 1721152 1878336 1936296 2178333 2581728 2817504 2904444 3872592 4356666 5163456 5635008 5808888 7745184 8713332 11617776 15490368 17426664 23235552 29232691 34853328 46471104 58465382 69706656 87698073 116930764 139413312 175396146 233861528 263094219 350792292 467723056 526188438 701584584 789282657 935446112 1052376876 1403169168 1578565314 1870892224 2104753752 2367847971 2806338336 3157130628 4209507504 4735695942 5612676672 6314261256 8419015008 9471391884 12628522512 16838030016 18942783768 25257045024 37885567536 50514090048 75771135072 151542270144