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3432331204144 = 2431157181243517
BaseRepresentation
bin110001111100100110111…
…000011101011000110000
3110011010110001200222201021
4301330212320131120300
5422213403242013034
611144442521345224
7502656236600353
oct61744670353060
913133401628637
103432331204144
1111037095362a7
12475260938214
131bb88a4b256b
14bc1a8d7629a
155e43974d6b4
hex31f26e1d630

3432331204144 has 80 divisors (see below), whose sum is σ = 6946582779136. Its totient is φ = 1641103027200.

The previous prime is 3432331204121. The next prime is 3432331204153. The reversal of 3432331204144 is 4414021332343.

3432331204144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 13973074 + ... + 14216590.

Almost surely, 23432331204144 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 3432331204144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473291389568).

3432331204144 is an abundant number, since it is smaller than the sum of its proper divisors (3514251574992).

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

3432331204144 is a wasteful number, since it uses less digits than its factorization.

3432331204144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243894 (or 243888 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 3432331204144 its reverse (4414021332343), we get a palindrome (7846352536487).

The spelling of 3432331204144 in words is "three trillion, four hundred thirty-two billion, three hundred thirty-one million, two hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 62 124 157 181 248 314 362 496 628 724 1256 1448 2512 2896 4867 5611 9734 11222 19468 22444 28417 38936 44888 56834 77872 89776 113668 227336 243517 454672 487034 880927 974068 1761854 1948136 3523708 3896272 7047416 7549027 14094832 15098054 30196108 38232169 44076577 60392216 76464338 88153154 120784432 152928676 176306308 305857352 352612616 611714704 705225232 1185197239 1366373887 2370394478 2732747774 4740788956 5465495548 6920022589 9481577912 10930991096 13840045178 18963155824 21861982192 27680090356 55360180712 110720361424 214520700259 429041400518 858082801036 1716165602072 3432331204144