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400010282112 = 2737148813349
BaseRepresentation
bin1011101001000100111…
…10001000010010000000
31102020111101220202101210
411310202132020102000
523023210113011422
6503432344330120
740620425204010
oct5644236102200
91366441822353
10400010282112
11144709415511
1265636773940
132b94a7cb42c
14155096bbc40
15a61277a10c
hex5d22788480

400010282112 has 64 divisors (see below), whose sum is σ = 1214316936000. Its totient is φ = 114288651264.

The previous prime is 400010282101. The next prime is 400010282129. The reversal of 400010282112 is 211282010004.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74403987 + ... + 74409362.

It is an arithmetic number, because the mean of its divisors is an integer number (18973702125).

Almost surely, 2400010282112 is an apocalyptic number.

400010282112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

400010282112 is an abundant number, since it is smaller than the sum of its proper divisors (814306653888).

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

400010282112 is a wasteful number, since it uses less digits than its factorization.

400010282112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148813373 (or 148813361 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 400010282112 its reverse (211282010004), we get a palindrome (611292292116).

The spelling of 400010282112 in words is "four hundred billion, ten million, two hundred eighty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 148813349 297626698 446440047 595253396 892880094 1041693443 1190506792 1785760188 2083386886 2381013584 3125080329 3571520376 4166773772 4762027168 6250160658 7143040752 8333547544 9524054336 12500321316 14286081504 16667095088 19048108672 25000642632 28572163008 33334190176 50001285264 57144326016 66668380352 100002570528 133336760704 200005141056 400010282112