Search a number
-
+
31994197144 = 23713211329917
BaseRepresentation
bin11101110011000000…
…001011010010011000
310001120201201121120121
4131303000023102120
51011011003302034
622410430403024
72211563121460
oct356300132230
9101521647517
1031994197144
1112628987948
12624a960474
13302b58a100
141797232ba0
15c73c421b4
hex77300b498

31994197144 has 96 divisors (see below), whose sum is σ = 74897917920. Its totient is φ = 12544616448.

The previous prime is 31994197139. The next prime is 31994197159. The reversal of 31994197144 is 44179149913.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 31994197091 and 31994197100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1054474 + ... + 1084390.

It is an arithmetic number, because the mean of its divisors is an integer number (780186645).

Almost surely, 231994197144 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 31994197144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37448958960).

31994197144 is an abundant number, since it is smaller than the sum of its proper divisors (42903720776).

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

31994197144 is a wasteful number, since it uses less digits than its factorization.

31994197144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30069 (or 30052 counting only the distinct ones).

The product of its digits is 979776, while the sum is 52.

The spelling of 31994197144 in words is "thirty-one billion, nine hundred ninety-four million, one hundred ninety-seven thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 113 169 182 226 338 364 452 676 728 791 904 1183 1352 1469 1582 2366 2938 3164 4732 5876 6328 9464 10283 11752 19097 20566 29917 38194 41132 59834 76388 82264 119668 133679 152776 209419 239336 267358 388921 418838 534716 777842 837676 1069432 1555684 1675352 2722447 3111368 3380621 5055973 5444894 6761242 10111946 10889788 13522484 20223892 21779576 23664347 27044968 35391811 40447784 43948073 47328694 70783622 87896146 94657388 141567244 175792292 189314776 283134488 307636511 351584584 571324949 615273022 1142649898 1230546044 2285299796 2461092088 3999274643 4570599592 7998549286 15997098572 31994197144