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3342440442432 = 263713191302681
BaseRepresentation
bin110000101000111000111…
…110011010101001000000
3102211112102102101011100110
4300220320332122221000
5414230304223124212
611035255042351320
7463324534663650
oct60507076325100
912745372334313
103342440442432
111079580546593
1245b95465b540
131b32631b9a30
14b7abc792360
155be27c9da3c
hex30a38f9aa40

3342440442432 has 112 divisors (see below), whose sum is σ = 10884357395072. Its totient is φ = 881522749440.

The previous prime is 3342440442389. The next prime is 3342440442443. The reversal of 3342440442432 is 2342440442433.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×33424404424322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 95633869 + ... + 95668812.

It is an arithmetic number, because the mean of its divisors is an integer number (97181762456).

Almost surely, 23342440442432 is an apocalyptic number.

3342440442432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3342440442432 is an abundant number, since it is smaller than the sum of its proper divisors (7541916952640).

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

3342440442432 is a wasteful number, since it uses less digits than its factorization.

3342440442432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191302716 (or 191302706 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 39.

Adding to 3342440442432 its reverse (2342440442433), we get a palindrome (5684880884865).

Subtracting from 3342440442432 its reverse (2342440442433), we obtain a palindrome (999999999999).

The spelling of 3342440442432 in words is "three trillion, three hundred forty-two billion, four hundred forty million, four hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 17472 191302681 382605362 573908043 765210724 1147816086 1339118767 1530421448 2295632172 2486934853 2678237534 3060842896 4017356301 4591264344 4973869706 5356475068 6121685792 7460804559 8034712602 9182528688 9947739412 10712950136 12243371584 14921609118 16069425204 17408543971 18365057376 19895478824 21425900272 29843218236 32138850408 34817087942 36730114752 39790957648 42851800544 52225631913 59686436472 64277700816 69634175884 79581915296 85703601088 104451263826 119372872944 128555401632 139268351768 159163830592 208902527652 238745745888 257110803264 278536703536 417805055304 477491491776 557073407072 835610110608 1114146814144 1671220221216 3342440442432