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342141052352 = 261117191504631
BaseRepresentation
bin1001111101010010011…
…00100010010111000000
31012201010101202021220212
410332221030202113000
521101201102133402
6421102154053252
733501400650311
oct4765114422700
91181111667825
10342141052352
111221127826a0
125638641a228
1326357643848
14127b9c04608
158d7711b952
hex4fa93225c0

342141052352 has 112 divisors (see below), whose sum is σ = 825501300480. Its totient is φ = 138666700800.

The previous prime is 342141052339. The next prime is 342141052411. The reversal of 342141052352 is 253250141243.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 524924 + ... + 979707.

Almost surely, 2342141052352 is an apocalyptic number.

342141052352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

342141052352 is an abundant number, since it is smaller than the sum of its proper divisors (483360248128).

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

342141052352 is a wasteful number, since it uses less digits than its factorization.

342141052352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504690 (or 1504680 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 342141052352 its reverse (253250141243), we get a palindrome (595391193595).

The spelling of 342141052352 in words is "three hundred forty-two billion, one hundred forty-one million, fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 17 19 22 32 34 38 44 64 68 76 88 136 152 176 187 209 272 304 323 352 374 418 544 608 646 704 748 836 1088 1216 1292 1496 1672 2584 2992 3344 3553 5168 5984 6688 7106 10336 11968 13376 14212 20672 28424 56848 113696 227392 1504631 3009262 6018524 12037048 16550941 24074096 25578727 28587989 33101882 48148192 51157454 57175978 66203764 96296384 102314908 114351956 132407528 204629816 228703912 264815056 281365997 314467879 409259632 457407824 485995813 529630112 562731994 628935758 818519264 914815648 971991626 1059260224 1125463988 1257871516 1637038528 1829631296 1943983252 2250927976 2515743032 3887966504 4501855952 5031486064 5345953943 7775933008 9003711904 10062972128 10691907886 15551866016 18007423808 20125944256 21383815772 31103732032 42767631544 85535263088 171070526176 342141052352