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42414051316 = 227213127131071
BaseRepresentation
bin100111100000000100…
…110000111111110100
311001110220112001100111
4213200010300333310
51143330444120231
631252412152404
73031026326200
oct474004607764
9131426461314
1042414051316
1116a9569857a
128278468704
133ccc24aab0
1420a5047b00
1511838d64b1
hex9e0130ff4

42414051316 has 72 divisors (see below), whose sum is σ = 93717528576. Its totient is φ = 16646938560.

The previous prime is 42414051299. The next prime is 42414051319. The reversal of 42414051316 is 61315041424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42414051319) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 258061 + ... + 389131.

Almost surely, 242414051316 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 42414051316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46858764288).

42414051316 is an abundant number, since it is smaller than the sum of its proper divisors (51303477260).

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

42414051316 is a wasteful number, since it uses less digits than its factorization.

42414051316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131229 (or 131220 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 42414051316 in words is "forty-two billion, four hundred fourteen million, fifty-one thousand, three hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 127 182 196 254 364 508 637 889 1274 1651 1778 2548 3302 3556 6223 6604 11557 12446 23114 24892 46228 80899 131071 161798 262142 323596 524284 917497 1703923 1834994 3407846 3669988 6422479 6815692 11927461 12844958 16646017 23854922 25689916 33292034 47709844 66584068 83492227 116522119 166984454 216398221 233044238 333968908 432796442 466088476 815654833 865592884 1514787547 1631309666 3029575094 3262619332 6059150188 10603512829 21207025658 42414051316