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31400189784 = 233540192
BaseRepresentation
bin11101001111100110…
…001101111101011000
310000001022222220200000
4131033212031331120
51003301422033114
622231451013000
72161061131545
oct351746157530
9100038886600
1031400189784
1112353652377
126103a3a160
132c654ac072
14173c3a9bcc
15c3ba09e09
hex74f98df58

31400189784 has 72 divisors (see below), whose sum is σ = 88213840260. Its totient is φ = 10464125616.

The previous prime is 31400189771. The next prime is 31400189801. The reversal of 31400189784 is 48798100413.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7810927 + ... + 7814945.

Almost surely, 231400189784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31400189784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44106920130).

31400189784 is an abundant number, since it is smaller than the sum of its proper divisors (56813650476).

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

31400189784 is an frugal number, since it uses more digits than its factorization.

31400189784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8059 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 31400189784 in words is "thirty-one billion, four hundred million, one hundred eighty-nine thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 4019 8038 12057 16076 24114 32152 36171 48228 72342 96456 108513 144684 217026 289368 325539 434052 651078 868104 976617 1302156 1953234 2604312 3906468 7812936 16152361 32304722 48457083 64609444 96914166 129218888 145371249 193828332 290742498 387656664 436113747 581484996 872227494 1162969992 1308341241 1744454988 2616682482 3488909976 3925023723 5233364964 7850047446 10466729928 15700094892 31400189784