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1431467048960 = 2145131344151
BaseRepresentation
bin10100110101001010000…
…101011100000000000000
312001211212101210111200122
4110311022011130000000
5141423121031031320
63013335030435412
7205264042104404
oct24651205340000
95054771714618
101431467048960
11502099915983
121b1517502b68
13a4ca9bc4c80
144d3d781b104
1527380974d25
hex14d4a15c000

1431467048960 has 120 divisors (see below), whose sum is σ = 3699681601056. Its totient is φ = 528541286400.

The previous prime is 1431467048959. The next prime is 1431467048987. The reversal of 1431467048960 is 698407641341.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 392885 + ... + 1737035.

Almost surely, 21431467048960 is an apocalyptic number.

1431467048960 is a gapful number since it is divisible by the number (10) 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 1431467048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849840800528).

1431467048960 is an abundant number, since it is smaller than the sum of its proper divisors (2268214552096).

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

1431467048960 is an equidigital number, since it uses as much as digits as its factorization.

1431467048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344197 (or 1344171 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 1431467048960 in words is "one trillion, four hundred thirty-one billion, four hundred sixty-seven million, forty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1024 1040 1280 1664 2048 2080 2560 3328 4096 4160 5120 6656 8192 8320 10240 13312 16384 16640 20480 26624 33280 40960 53248 66560 81920 106496 133120 212992 266240 532480 1064960 1344151 2688302 5376604 6720755 10753208 13441510 17473963 21506416 26883020 34947926 43012832 53766040 69895852 86025664 87369815 107532080 139791704 172051328 174739630 215064160 279583408 344102656 349479260 430128320 559166816 688205312 698958520 860256640 1118333632 1376410624 1397917040 1720513280 2236667264 2752821248 2795834080 3441026560 4473334528 5505642496 5591668160 6882053120 8946669056 11011284992 11183336320 13764106240 17893338112 22022569984 22366672640 27528212480 35786676224 44733345280 55056424960 71573352448 89466690560 110112849920 143146704896 178933381120 286293409792 357866762240 715733524480 1431467048960