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431442341440 = 26511122568847
BaseRepresentation
bin1100100011100111111…
…01111010111001000000
31112020121221212210212021
412101303331322321000
524032043214411230
6530111334411224
743112354251645
oct6216375727100
91466557783767
10431442341440
11156a78a54950
126b749200b14
13318b97883c6
1416c4bdc1dcc
15b351e7cc7a
hex6473f7ae40

431442341440 has 56 divisors (see below), whose sum is σ = 1120769546112. Its totient is φ = 156888122880.

The previous prime is 431442341423. The next prime is 431442341467. The reversal of 431442341440 is 44143244134.

It is a super-2 number, since 2×4314423414402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 431442341396 and 431442341405.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61280904 + ... + 61287943.

Almost surely, 2431442341440 is an apocalyptic number.

431442341440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431442341440 is an abundant number, since it is smaller than the sum of its proper divisors (689327204672).

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

431442341440 is a wasteful number, since it uses less digits than its factorization.

431442341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122568875 (or 122568865 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 431442341440 its reverse (44143244134), we get a palindrome (475585585574).

The spelling of 431442341440 in words is "four hundred thirty-one billion, four hundred forty-two million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 122568847 245137694 490275388 612844235 980550776 1225688470 1348257317 1961101552 2451376940 2696514634 3922203104 4902753880 5393029268 6741286585 7844406208 9805507760 10786058536 13482573170 19611015520 21572117072 26965146340 39222031040 43144234144 53930292680 86288468288 107860585360 215721170720 431442341440