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4332105142104 = 2334719760732117
BaseRepresentation
bin111111000010100101100…
…101101000111101011000
3120100010220212002221010110
4333002211211220331120
51031434122404021404
613114050331444320
7624661414066035
oct77024545507530
916303825087113
104332105142104
111420265462363
1259b7112b66a0
1325569218a93c
1410d96431438c
1577a4bec3b89
hex3f0a5968f58

4332105142104 has 128 divisors (see below), whose sum is σ = 11135500738560. Its totient is φ = 1403776485888.

The previous prime is 4332105142091. The next prime is 4332105142187. The reversal of 4332105142104 is 4012415012334.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134869054 + ... + 134901170.

It is an arithmetic number, because the mean of its divisors is an integer number (86996099520).

Almost surely, 24332105142104 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 4332105142104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5567750369280).

4332105142104 is an abundant number, since it is smaller than the sum of its proper divisors (6803395596456).

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

4332105142104 is a wasteful number, since it uses less digits than its factorization.

4332105142104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32977 (or 32973 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 4332105142104 in words is "four trillion, three hundred thirty-two billion, one hundred five million, one hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 197 282 376 394 564 591 607 788 1128 1182 1214 1576 1821 2364 2428 3642 4728 4856 7284 9259 14568 18518 27777 28529 32117 37036 55554 57058 64234 74072 85587 96351 111108 114116 119579 128468 171174 192702 222216 228232 239158 256936 342348 358737 385404 478316 684696 717474 770808 956632 1434948 1509499 2869896 3018998 4528497 5620213 6037996 6327049 9056994 11240426 12075992 12654098 16860639 18113988 18981147 19495019 22480852 25308196 33721278 36227976 37962294 38990038 44961704 50616392 58485057 67442556 75924588 77980076 116970114 134885112 151849176 155960152 233940228 297371303 467880456 594742606 892113909 916265893 1189485212 1784227818 1832531786 2378970424 2748797679 3568455636 3665063572 3840518743 5497595358 7136911272 7330127144 7681037486 10995190716 11521556229 15362074972 21990381432 23043112458 30724149944 46086224916 92172449832 180504380921 361008761842 541513142763 722017523684 1083026285526 1444035047368 2166052571052 4332105142104