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142323531625056 = 2532322896196769
BaseRepresentation
bin100000010111000101000111…
…100010111011001001100000
3200122220222220121220211101010
4200113011013202323021200
5122123312043044000211
61222410310001340520
741656351535160405
oct4027050742731140
9618828817824333
10142323531625056
1141392086265541
1213b67306937740
13615508903b462
1427206d22362ac
15116c26599b4a6
hex8171478bb260

142323531625056 has 144 divisors (see below), whose sum is σ = 390566475235440. Its totient is φ = 45376481525760.

The previous prime is 142323531625049. The next prime is 142323531625073. The reversal of 142323531625056 is 650526135323241.

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 = 142323531624996 and 142323531625014.

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, 1470707040 + ... + 1470803808.

It is an arithmetic number, because the mean of its divisors is an integer number (2712267189135).

Almost surely, 2142323531625056 is an apocalyptic number.

142323531625056 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 142323531625056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195283237617720).

142323531625056 is an abundant number, since it is smaller than the sum of its proper divisors (248242943610384).

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

142323531625056 is a wasteful number, since it uses less digits than its factorization.

142323531625056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125789 (or 125758 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 48.

Adding to 142323531625056 its reverse (650526135323241), we get a palindrome (792849666948297).

The spelling of 142323531625056 in words is "one hundred forty-two trillion, three hundred twenty-three billion, five hundred thirty-one million, six hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 529 552 736 1058 1104 1587 2116 2208 3174 4232 6348 8464 12696 16928 25392 28961 50784 57922 86883 96769 115844 173766 193538 231688 290307 347532 387076 463376 580614 666103 695064 774152 926752 1161228 1332206 1390128 1548304 1998309 2225687 2322456 2664412 2780256 3096608 3996618 4451374 4644912 5328824 6677061 7993236 8902748 9289824 10657648 13354122 15320369 15986472 17805496 21315296 26708244 30640738 31972944 35610992 45961107 51190801 53416488 61281476 63945888 71221984 91922214 102381602 106832976 122562952 153572403 183844428 204763204 213665952 245125904 307144806 367688856 409526408 490251808 614289612 735377712 819052816 1228579224 1470755424 1638105632 2457158448 2802527009 4914316896 5605054018 8407581027 11210108036 16815162054 22420216072 33630324108 44840432144 64458121207 67260648216 89680864288 128916242414 134521296432 193374363621 257832484828 269042592864 386748727242 515664969656 773497454484 1031329939312 1482536787761 1546994908968 2062659878624 2965073575522 3093989817936 4447610363283 5930147151044 6187979635872 8895220726566 11860294302088 17790441453132 23720588604176 35580882906264 47441177208352 71161765812528 142323531625056