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1430163820440 = 233259907400997
BaseRepresentation
bin10100110011111100011…
…010000000111110011000
312001201111120112122020200
4110303330122000332120
5141412433414223230
63013001434022200
7205216535616345
oct24637432007630
95051446478220
101430163820440
11501590213013
121b1212b77960
13a4b2cbc9634
144d3126d97cc
1527306348160
hex14cfc680f98

1430163820440 has 96 divisors (see below), whose sum is σ = 4648513175280. Its totient is φ = 381337572096.

The previous prime is 1430163820357. The next prime is 1430163820457. The reversal of 1430163820440 is 440283610341.

1430163820440 is a `hidden beast` number, since 1 + 4 + 30 + 163 + 8 + 20 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1430163820395 and 1430163820404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3366022 + ... + 3767018.

Almost surely, 21430163820440 is an apocalyptic number.

1430163820440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1430163820440 is an abundant number, since it is smaller than the sum of its proper divisors (3218349354840).

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

1430163820440 is a wasteful number, since it uses less digits than its factorization.

1430163820440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410921 (or 410914 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 1430163820440 in words is "one trillion, four hundred thirty billion, one hundred sixty-three million, eight hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 9907 19814 29721 39628 49535 59442 79256 89163 99070 118884 148605 178326 198140 237768 297210 356652 396280 400997 445815 594420 713304 801994 891630 1188840 1202991 1603988 1783260 2004985 2405982 3207976 3566520 3608973 4009970 4811964 6014955 7217946 8019940 9623928 12029910 14435892 16039880 18044865 24059820 28871784 36089730 48119640 72179460 144358920 3972677279 7945354558 11918031837 15890709116 19863386395 23836063674 31781418232 35754095511 39726772790 47672127348 59590159185 71508191022 79453545580 95344254696 119180318370 143016382044 158907091160 178770477555 238360636740 286032764088 357540955110 476721273480 715081910220 1430163820440