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320142051324 = 22341767867509
BaseRepresentation
bin1001010100010011111…
…01000000011111111100
31010121100020202020210000
410222021331000133330
520221122331120244
6403023215114300
732062263352134
oct4521175003774
91117306666700
10320142051324
11113853929607
1252066b12990
132425ca81484
14116d0243ac4
1584dab39169
hex4a89f407fc

320142051324 has 120 divisors (see below), whose sum is σ = 899371907280. Its totient is φ = 98937552384.

The previous prime is 320142051319. The next prime is 320142051347. The reversal of 320142051324 is 423150241023.

320142051324 is a `hidden beast` number, since 3 + 2 + 0 + 142 + 0 + 513 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 64719 + ... + 802790.

It is an arithmetic number, because the mean of its divisors is an integer number (7494765894).

Almost surely, 2320142051324 is an apocalyptic number.

320142051324 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320142051324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449685953640).

320142051324 is an abundant number, since it is smaller than the sum of its proper divisors (579229855956).

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

320142051324 is a wasteful number, since it uses less digits than its factorization.

320142051324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867609 (or 867598 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 320142051324 its reverse (423150241023), we get a palindrome (743292292347).

The spelling of 320142051324 in words is "three hundred twenty billion, one hundred forty-two million, fifty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 67 68 81 102 108 134 153 162 201 204 268 306 324 402 459 603 612 804 918 1139 1206 1377 1809 1836 2278 2412 2754 3417 3618 4556 5427 5508 6834 7236 10251 10854 13668 20502 21708 30753 41004 61506 92259 123012 184518 369036 867509 1735018 2602527 3470036 5205054 7807581 10410108 14747653 15615162 23422743 29495306 31230324 44242959 46845486 58123103 58990612 70268229 88485918 93690972 116246206 132728877 140536458 174369309 176971836 232492412 265457754 281072916 348738618 398186631 523107927 530915508 697477236 796373262 988092751 1046215854 1194559893 1569323781 1592746524 1976185502 2092431708 2389119786 2964278253 3138647562 3952371004 4707971343 4778239572 5928556506 6277295124 8892834759 9415942686 11857113012 17785669518 18831885372 26678504277 35571339036 53357008554 80035512831 106714017108 160071025662 320142051324