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6440158842 = 23137379103139
BaseRepresentation
bin1011111111101110…
…10000011001111010
3121121211021222002120
411333313100121322
5101142140040332
62543014542110
7315410306205
oct57767203172
917554258076
106440158842
112805335727
1212b8967936
137b832b2a0
1445146893c
1527a5d032c
hex17fdd067a

6440158842 has 128 divisors (see below), whose sum is σ = 14480793600. Its totient is φ = 1897219584.

The previous prime is 6440158811. The next prime is 6440158853. The reversal of 6440158842 is 2488510446.

It is a junction number, because it is equal to n+sod(n) for n = 6440158794 and 6440158803.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46332009 + ... + 46332147.

It is an arithmetic number, because the mean of its divisors is an integer number (113131200).

Almost surely, 26440158842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6440158842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7240396800).

6440158842 is an abundant number, since it is smaller than the sum of its proper divisors (8040634758).

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

6440158842 is a wasteful number, since it uses less digits than its factorization.

6440158842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412.

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 6440158842 is about 80250.6002594373. The cubic root of 6440158842 is about 1860.5107898803.

The spelling of 6440158842 in words is "six billion, four hundred forty million, one hundred fifty-eight thousand, eight hundred forty-two".

Divisors: 1 2 3 6 13 26 39 73 78 79 103 139 146 158 206 219 237 278 309 417 438 474 618 834 949 1027 1339 1807 1898 2054 2678 2847 3081 3614 4017 5421 5694 5767 6162 7519 8034 8137 10147 10842 10981 11534 14317 15038 16274 17301 20294 21962 22557 24411 28634 30441 32943 34602 42951 45114 48822 60882 65886 74971 85902 97747 105781 131911 142753 149942 186121 195494 211562 224913 263822 285506 293241 317343 372242 395733 428259 449826 558363 586482 594001 634686 791466 801613 856518 1045141 1116726 1131043 1188002 1603226 1782003 2090282 2262086 2404839 3135423 3393129 3564006 4809678 6270846 6786258 7722013 10420969 13586833 14703559 15444026 20841938 23166039 27173666 29407118 31262907 40760499 44110677 46332078 62525814 81520998 82566139 88221354 165132278 247698417 495396834 1073359807 2146719614 3220079421 6440158842