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342123431424 = 2936718118367
BaseRepresentation
bin1001111101010000010…
…01010100011000000000
31012201002011121001112220
410332220021110120000
521101132044301144
6421100324251040
733501065120325
oct4765011243000
91181064531486
10342123431424
11122103837845
1256380540a80
1326353ab4268
14127b7738b4c
158d757da919
hex4fa8254600

342123431424 has 160 divisors (see below), whose sum is σ = 930203129856. Its totient is φ = 111712296960.

The previous prime is 342123431371. The next prime is 342123431437. The reversal of 342123431424 is 424134321243.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18617889 + ... + 18636255.

Almost surely, 2342123431424 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 342123431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465101564928).

342123431424 is an abundant number, since it is smaller than the sum of its proper divisors (588079698432).

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

342123431424 is a wasteful number, since it uses less digits than its factorization.

342123431424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18636 (or 18620 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

Adding to 342123431424 its reverse (424134321243), we get a palindrome (766257752667).

The spelling of 342123431424 in words is "three hundred forty-two billion, one hundred twenty-three million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 181 192 201 256 268 362 384 402 512 536 543 724 768 804 1072 1086 1448 1536 1608 2144 2172 2896 3216 4288 4344 5792 6432 8576 8688 11584 12127 12864 17152 17376 18367 23168 24254 25728 34304 34752 36381 36734 46336 48508 51456 55101 69504 72762 73468 92672 97016 102912 110202 139008 145524 146936 194032 220404 278016 291048 293872 388064 440808 582096 587744 776128 881616 1164192 1175488 1230589 1552256 1763232 2328384 2350976 2461178 3104512 3324427 3526464 3691767 4656768 4701952 4922356 6209024 6648854 7052928 7383534 9313536 9403904 9844712 9973281 13297708 14105856 14767068 18627072 19689424 19946562 26595416 28211712 29534136 39378848 39893124 53190832 59068272 78757696 79786248 106381664 118136544 157515392 159572496 212763328 222736609 236273088 315030784 319144992 425526656 445473218 472546176 630061568 638289984 668209827 851053312 890946436 945092352 1276579968 1336419654 1702106624 1781892872 1890184704 2553159936 2672839308 3563785744 5106319872 5345678616 7127571488 10691357232 14255142976 21382714464 28510285952 42765428928 57020571904 85530857856 114041143808 171061715712 342123431424