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146364070424 = 231113283452087
BaseRepresentation
bin1000100001001111111…
…0100111101000011000
3111222210100211011011012
42020103332213220120
54344223200223144
6151123321553052
713401016033325
oct2102376475030
9458710734135
10146364070424
115708877a480
1224449045788
1310a571cc440
14712692bb4c
153c197c1e9e
hex2213fa7a18

146364070424 has 64 divisors (see below), whose sum is σ = 323550339840. Its totient is φ = 61194360960.

The previous prime is 146364070399. The next prime is 146364070439. The reversal of 146364070424 is 424070463641.

It is a super-2 number, since 2×1463640704242 (a number of 23 digits) contains 22 as substring.

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, 97709 + ... + 549795.

It is an arithmetic number, because the mean of its divisors is an integer number (5055474060).

Almost surely, 2146364070424 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 146364070424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161775169920).

146364070424 is an abundant number, since it is smaller than the sum of its proper divisors (177186269416).

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

146364070424 is a wasteful number, since it uses less digits than its factorization.

146364070424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452400 (or 452396 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 41.

The spelling of 146364070424 in words is "one hundred forty-six billion, three hundred sixty-four million, seventy thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 283 286 566 572 1132 1144 2264 3113 3679 6226 7358 12452 14716 24904 29432 40469 80938 161876 323752 452087 904174 1808348 3616696 4972957 5877131 9945914 11754262 19891828 23508524 39783656 47017048 64648441 127940621 129296882 255881242 258593764 511762484 517187528 1023524968 1407346831 1663228073 2814693662 3326456146 5629387324 6652912292 11258774648 13305824584 18295508803 36591017606 73182035212 146364070424