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1431412944 = 243134794789
BaseRepresentation
bin101010101010001…
…1010000011010000
310200202110022102020
41111110122003100
510412420203234
6354012051440
750320544403
oct12524320320
93622408366
101431412944
11674aa4805
1233b463b80
1319a729910
14d816bd3a
15859ec549
hex5551a0d0

1431412944 has 80 divisors (see below), whose sum is σ = 3991411200. Its totient is φ = 439423488.

The previous prime is 1431412933. The next prime is 1431412949. The reversal of 1431412944 is 4492141341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431412949) 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, 296502 + ... + 301290.

It is an arithmetic number, because the mean of its divisors is an integer number (49892640).

Almost surely, 21431412944 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 1431412944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995705600).

1431412944 is an abundant number, since it is smaller than the sum of its proper divisors (2559998256).

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

1431412944 is a wasteful number, since it uses less digits than its factorization.

1431412944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5292 (or 5286 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 1431412944 is about 37834.0183432847. The cubic root of 1431412944 is about 1126.9941110661.

The spelling of 1431412944 in words is "one billion, four hundred thirty-one million, four hundred twelve thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 479 624 958 1437 1916 2874 3832 4789 5748 6227 7664 9578 11496 12454 14367 18681 19156 22992 24908 28734 37362 38312 49816 57468 62257 74724 76624 99632 114936 124514 149448 186771 229872 249028 298896 373542 498056 747084 996112 1494168 2293931 2988336 4587862 6881793 9175724 13763586 18351448 27527172 29821103 36702896 55054344 59642206 89463309 110108688 119284412 178926618 238568824 357853236 477137648 715706472 1431412944