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42134010352 = 247736318167
BaseRepresentation
bin100111001111011000…
…011111100111110000
311000202101120111100221
4213033120133213300
51142242301312402
631204530022424
73021056115220
oct471730374760
9130671514327
1042134010352
1116961606665
1281ba717a14
133c8621a895
142079b8c080
15116901b337
hex9cf61f9f0

42134010352 has 80 divisors (see below), whose sum is σ = 94736253952. Its totient is φ = 17779668480.

The previous prime is 42134010311. The next prime is 42134010353. The reversal of 42134010352 is 25301043124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42134010353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5154973 + ... + 5163139.

Almost surely, 242134010352 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 42134010352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47368126976).

42134010352 is an abundant number, since it is smaller than the sum of its proper divisors (52602243600).

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

42134010352 is a wasteful number, since it uses less digits than its factorization.

42134010352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8886 (or 8880 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 42134010352 its reverse (25301043124), we get a palindrome (67435053476).

The spelling of 42134010352 in words is "forty-two billion, one hundred thirty-four million, ten thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 292 511 584 631 1022 1168 1262 2044 2524 4088 4417 5048 8167 8176 8834 10096 16334 17668 32668 35336 46063 57169 65336 70672 92126 114338 130672 184252 228676 322441 368504 457352 596191 644882 737008 914704 1192382 1289764 2384764 2579528 4173337 4769528 5153377 5159056 8346674 9539056 10306754 16693348 20613508 33386696 36073639 41227016 66773392 72147278 82454032 144294556 288589112 376196521 577178224 752393042 1504786084 2633375647 3009572168 5266751294 6019144336 10533502588 21067005176 42134010352