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400114002414 = 237219292469931
BaseRepresentation
bin1011101001010001010…
…01110010100111101110
31102020202122002021220110
411310220221302213232
523023413141034124
6503450531400450
740623124622400
oct5645051624756
91366678067813
10400114002414
11144761a18075
1265665453126
132b9661453a9
141551939ab70
15a61b917029
hex5d28a729ee

400114002414 has 96 divisors (see below), whose sum is σ = 1013660092800. Its totient is φ = 104566956480.

The previous prime is 400114002391. The next prime is 400114002499. The reversal of 400114002414 is 414200411004.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1072972 + ... + 1396959.

It is an arithmetic number, because the mean of its divisors is an integer number (10558959300).

Almost surely, 2400114002414 is an apocalyptic number.

400114002414 is an abundant number, since it is smaller than the sum of its proper divisors (613546090386).

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

400114002414 is a wasteful number, since it uses less digits than its factorization.

400114002414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469998 (or 2469991 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 400114002414 its reverse (414200411004), we get a palindrome (814314413418).

The spelling of 400114002414 in words is "four hundred billion, one hundred fourteen million, two thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 29 38 42 49 57 58 87 98 114 133 147 174 203 266 294 399 406 551 609 798 931 1102 1218 1421 1653 1862 2793 2842 3306 3857 4263 5586 7714 8526 11571 23142 26999 53998 80997 161994 2469931 4939862 7409793 14819586 17289517 34579034 46928689 51868551 71627999 93857378 103737102 121026619 140786067 143255998 214883997 242053238 281572134 328500823 363079857 429767994 501395993 657001646 726159714 985502469 1002791986 1360931981 1504187979 1971004938 2299505761 2721863962 3008375958 3509771951 4082795943 4599011522 6898517283 7019543902 8165591886 9526523867 10529315853 13797034566 19053047734 21058631706 28579571601 57159143202 66685667069 133371334138 200057001207 400114002414