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400422200040 = 233251318784347
BaseRepresentation
bin1011101001110110000…
…01011110001011101000
31102021120010000100120100
411310323001132023220
523030031040400130
6503541301225400
740633556353632
oct5647301361350
91367503010510
10400422200040
111448aa990555
1265730702260
132b9b4c53555
14155482a5a52
15a6389e4c60
hex5d3b05e2e8

400422200040 has 96 divisors (see below), whose sum is σ = 1301486266080. Its totient is φ = 106769890176.

The previous prime is 400422200029. The next prime is 400422200047. The reversal of 400422200040 is 40002224004.

400422200040 is a `hidden beast` number, since 4 + 0 + 0 + 422 + 200 + 0 + 40 = 666.

400422200040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 400422199986 and 400422200022.

It is not an unprimeable number, because it can be changed into a prime (400422200047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4705147 + ... + 4789493.

It is an arithmetic number, because the mean of its divisors is an integer number (13557148605).

Almost surely, 2400422200040 is an apocalyptic number.

400422200040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400422200040 is an abundant number, since it is smaller than the sum of its proper divisors (901064066040).

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

400422200040 is a wasteful number, since it uses less digits than its factorization.

400422200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97551 (or 97544 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 400422200040 its reverse (40002224004), we get a palindrome (440424424044).

The spelling of 400422200040 in words is "four hundred billion, four hundred twenty-two million, two hundred thousand, 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 13187 26374 39561 52748 65935 79122 84347 105496 118683 131870 158244 168694 197805 237366 253041 263740 316488 337388 395610 421735 474732 506082 527480 593415 674776 759123 791220 843470 949464 1012164 1186830 1265205 1518246 1582440 1686940 2024328 2373660 2530410 3036492 3373880 3795615 4747320 5060820 6072984 7591230 10121640 15182460 30364920 1112283889 2224567778 3336851667 4449135556 5561419445 6673703334 8898271112 10010555001 11122838890 13347406668 16684258335 20021110002 22245677780 26694813336 33368516670 40042220004 44491355560 50052775005 66737033340 80084440008 100105550010 133474066680 200211100020 400422200040