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3320032242432 = 28331349399571
BaseRepresentation
bin110000010100000001010…
…101111010101100000000
3102202101120202101122202010
4300110001111322230000
5413343411223224212
611021111325052520
7461602331301543
oct60240125725400
912671522348663
103320032242432
111070021714234
124575400b7140
131b1101914ca9
14b699471485a
155b5658dc03c
hex3050157ab00

3320032242432 has 144 divisors (see below), whose sum is σ = 9147321881600. Its totient is φ = 1067906764800.

The previous prime is 3320032242419. The next prime is 3320032242433. The reversal of 3320032242432 is 2342422300233.

It is a super-2 number, since 2×33200322424322 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3320032242432.

It is not an unprimeable number, because it can be changed into a prime (3320032242433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8109207 + ... + 8508777.

Almost surely, 23320032242432 is an apocalyptic number.

3320032242432 is a gapful number since it is divisible by the number (32) 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 3320032242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4573660940800).

3320032242432 is an abundant number, since it is smaller than the sum of its proper divisors (5827289639168).

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

3320032242432 is a wasteful number, since it uses less digits than its factorization.

3320032242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399970 (or 399956 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 3320032242432 its reverse (2342422300233), we get a palindrome (5662454542665).

The spelling of 3320032242432 in words is "three trillion, three hundred twenty billion, thirty-two million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 349 372 384 496 698 744 768 992 1047 1396 1488 1984 2094 2792 2976 3968 4188 5584 5952 7936 8376 10819 11168 11904 16752 21638 22336 23808 32457 33504 43276 44672 64914 67008 86552 89344 129828 134016 173104 259656 268032 346208 399571 519312 692416 799142 1038624 1198713 1384832 1598284 2077248 2397426 2769664 3196568 4154496 4794852 6393136 8308992 9589704 12386701 12786272 19179408 24773402 25572544 37160103 38358816 49546804 51145088 74320206 76717632 99093608 102290176 139450279 148640412 153435264 198187216 278900558 297280824 306870528 396374432 418350837 557801116 594561648 792748864 836701674 1115602232 1189123296 1585497728 1673403348 2231204464 2378246592 3170995456 3346806696 4322958649 4462408928 4756493184 6693613392 8645917298 8924817856 9512986368 12968875947 13387226784 17291834596 17849635712 25937751894 26774453568 34583669192 35699271424 51875503788 53548907136 69167338384 103751007576 107097814272 138334676768 207502015152 276669353536 415004030304 553338707072 830008060608 1106677414144 1660016121216 3320032242432