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142420202013232 = 2411131011494136261
BaseRepresentation
bin100000011000011111001001…
…100011001100001000110000
3200200021020102202022100212101
4200120133021203030020300
5122131403033203410412
61222522534303310144
741666343242002663
oct4030371143141060
9620236382270771
10142420202013232
114141a083170a30
1213b81ba55ab354
136161223a9b490
142725262dad6da
15116ea22734457
hex8187c98cc230

142420202013232 has 160 divisors (see below), whose sum is σ = 329587283188800. Its totient is φ = 58767982080000.

The previous prime is 142420202013197. The next prime is 142420202013239. The reversal of 142420202013232 is 232310202024241.

It is a self number, because there is not a number n which added to its sum of digits gives 142420202013232.

It is not an unprimeable number, because it can be changed into a prime (142420202013239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32363982 + ... + 36500242.

It is an arithmetic number, because the mean of its divisors is an integer number (2059920519930).

Almost surely, 2142420202013232 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 142420202013232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164793641594400).

142420202013232 is an abundant number, since it is smaller than the sum of its proper divisors (187167081175568).

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

142420202013232 is a wasteful number, since it uses less digits than its factorization.

142420202013232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4136543 (or 4136537 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 142420202013232 its reverse (232310202024241), we get a palindrome (374730404037473).

The spelling of 142420202013232 in words is "one hundred forty-two trillion, four hundred twenty billion, two hundred two million, thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 101 104 143 149 176 202 208 286 298 404 572 596 808 1111 1144 1192 1313 1616 1639 1937 2222 2288 2384 2626 3278 3874 4444 5252 6556 7748 8888 10504 13112 14443 15049 15496 17776 21008 21307 26224 28886 30098 30992 42614 57772 60196 85228 115544 120392 165539 170456 195637 231088 240784 331078 340912 391274 662156 782548 1324312 1565096 2152007 2648624 3130192 4136261 4304014 8272522 8608028 16545044 17216056 33090088 34432112 45498871 53771393 66180176 90997742 107542786 181995484 215085572 363990968 417762361 430171144 591485323 616302889 727981936 835524722 860342288 1182970646 1232605778 1671049444 2365941292 2465211556 3342098888 4595385971 4731882584 4930423112 5430910693 6684197776 6779331779 8011937557 9190771942 9463765168 9860846224 10861821386 13558663558 16023875114 18381543884 21723642772 27117327116 32047750228 36763087768 43447285544 54234654232 59740017623 62246591789 64095500456 73526175536 86894571088 88131313127 108469308464 119480035246 124493183578 128191000912 176262626254 238960070492 248986367156 352525252508 477920140984 497972734312 684712509679 705050505016 809205693257 955840281968 995945468624 1369425019358 1410101010032 1618411386514 2738850038716 3236822773028 5477700077432 6473645546056 8901262625827 10955400154864 12947291092112 17802525251654 35605050503308 71210101006616 142420202013232