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1431412950 = 2352118271049
BaseRepresentation
bin101010101010001…
…1010000011010110
310200202110022102110
41111110122003112
510412420203300
6354012051450
750320544412
oct12524320326
93622408373
101431412950
11674aa4810
1233b463b86
1319a729916
14d816bd42
15859ec550
hex5551a0d6

1431412950 has 96 divisors (see below), whose sum is σ = 3881001600. Its totient is φ = 346259200.

The previous prime is 1431412949. The next prime is 1431412967. The reversal of 1431412950 is 592141341.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1364026 + ... + 1365074.

It is an arithmetic number, because the mean of its divisors is an integer number (40427100).

Almost surely, 21431412950 is an apocalyptic number.

1431412950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1431412950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940500800).

1431412950 is an abundant number, since it is smaller than the sum of its proper divisors (2449588650).

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

1431412950 is a wasteful number, since it uses less digits than its factorization.

1431412950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1431412950 is about 37834.0184225784. The cubic root of 1431412950 is about 1126.9941126407.

The spelling of 1431412950 in words is "one billion, four hundred thirty-one million, four hundred twelve thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 827 1049 1650 1654 2098 2481 3147 4135 4962 5245 6294 8270 9097 10490 11539 12405 15735 18194 20675 23078 24810 26225 27291 31470 34617 41350 45485 52450 54582 57695 62025 69234 78675 90970 115390 124050 136455 157350 173085 227425 272910 288475 346170 454850 576950 682275 865425 867523 1364550 1730850 1735046 2602569 4337615 5205138 8675230 9542753 13012845 19085506 21688075 26025690 28628259 43376150 47713765 57256518 65064225 95427530 130128450 143141295 238568825 286282590 477137650 715706475 1431412950