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142673065056 = 25322934948947
BaseRepresentation
bin1000010011011111111…
…0100011010001100000
3111122021010112122122200
42010313332203101200
54314143301040211
6145313150533200
713210400020614
oct2046776432140
9448233478580
10142673065056
1155564253515
1223798b07200
13105b96078b2
146c9664d344
153aa0735b56
hex2137fa3460

142673065056 has 144 divisors (see below), whose sum is σ = 420928326000. Its totient is φ = 45785263104.

The previous prime is 142673065039. The next prime is 142673065061. The reversal of 142673065056 is 650560376241.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2890375 + ... + 2939321.

It is an arithmetic number, because the mean of its divisors is an integer number (2923113375).

Almost surely, 2142673065056 is an apocalyptic number.

142673065056 is a gapful number since it is divisible by the number (16) 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 142673065056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210464163000).

142673065056 is an abundant number, since it is smaller than the sum of its proper divisors (278255260944).

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

142673065056 is a wasteful number, since it uses less digits than its factorization.

142673065056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49341 (or 49330 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 142673065056 in words is "one hundred forty-two billion, six hundred seventy-three million, sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 349 464 522 696 698 928 1044 1047 1392 1396 2088 2094 2784 2792 3141 4176 4188 5584 6282 8352 8376 10121 11168 12564 16752 20242 25128 30363 33504 40484 48947 50256 60726 80968 91089 97894 100512 121452 146841 161936 182178 195788 242904 293682 323872 364356 391576 440523 485808 587364 728712 783152 881046 971616 1174728 1419463 1457424 1566304 1762092 2349456 2838926 2914848 3524184 4258389 4698912 5677852 7048368 8516778 11355704 12775167 14096736 17033556 17082503 22711408 25550334 34067112 34165006 45422816 51100668 51247509 68134224 68330012 102201336 102495018 136268448 136660024 153742527 204402672 204990036 273320048 307485054 408805344 409980072 495392587 546640096 614970108 819960144 990785174 1229940216 1486177761 1639920288 1981570348 2459880432 2972355522 3963140696 4458533283 4919760864 5944711044 7926281392 8917066566 11889422088 15852562784 17834133132 23778844176 35668266264 47557688352 71336532528 142673065056