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400044332430 = 2325131129726161
BaseRepresentation
bin1011101001001001000…
…00000001010110001110
31102020120202222200122200
411310210200001112032
523023242322114210
6503440002222330
740621320502041
oct5644440012616
91366522880580
10400044332430
11144726661a76
12656460549a6
132b954890b52
1415510022c58
15a6157540c0
hex5d2480158e

400044332430 has 96 divisors (see below), whose sum is σ = 1048903229088. Its totient is φ = 105778483200.

The previous prime is 400044332419. The next prime is 400044332431. The reversal of 400044332430 is 34233440004.

It is a junction number, because it is equal to n+sod(n) for n = 400044332394 and 400044332403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400044332431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15278550 + ... + 15304710.

It is an arithmetic number, because the mean of its divisors is an integer number (10926075303).

Almost surely, 2400044332430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400044332430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524451614544).

400044332430 is an abundant number, since it is smaller than the sum of its proper divisors (648858896658).

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

400044332430 is a wasteful number, since it uses less digits than its factorization.

400044332430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27602 (or 27599 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 400044332430 its reverse (34233440004), we get a palindrome (434277772434).

The spelling of 400044332430 in words is "four hundred billion, forty-four million, three hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 262 393 655 786 1179 1297 1310 1965 2358 2594 3891 3930 5895 6485 7782 11673 11790 12970 19455 23346 26161 38910 52322 58365 78483 116730 130805 156966 169907 235449 261610 339814 392415 470898 509721 784830 849535 1019442 1177245 1529163 1699070 2354490 2548605 3058326 3427091 5097210 6854182 7645815 10281273 15291630 17135455 20562546 30843819 33930817 34270910 51406365 61687638 67861634 101792451 102812730 154219095 169654085 203584902 305377353 308438190 339308170 508962255 610754706 1017924510 1526886765 3053773530 4444937027 8889874054 13334811081 22224685135 26669622162 40004433243 44449370270 66674055405 80008866486 133348110810 200022166215 400044332430