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31104442304 = 26132910911827
BaseRepresentation
bin11100111101111110…
…000001111111000000
32222021201111101101122
4130331332001333000
51002200214123204
622142244051412
72150540253155
oct347576017700
988251441348
1031104442304
1112211712971
126040993b68
132c1913ca60
141710dc222c
15c20a8b0be
hex73df81fc0

31104442304 has 112 divisors (see below), whose sum is σ = 69399607200. Its totient is φ = 13732540416.

The previous prime is 31104442301. The next prime is 31104442337. The reversal of 31104442304 is 40324440113.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31104442301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2624039 + ... + 2635865.

It is an arithmetic number, because the mean of its divisors is an integer number (619639350).

Almost surely, 231104442304 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 31104442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34699803600).

31104442304 is an abundant number, since it is smaller than the sum of its proper divisors (38295164896).

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

31104442304 is a wasteful number, since it uses less digits than its factorization.

31104442304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11990 (or 11980 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 31104442304 its reverse (40324440113), we get a palindrome (71428882417).

The spelling of 31104442304 in words is "thirty-one billion, one hundred four million, four hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 109 116 208 218 232 377 416 436 464 754 832 872 928 1417 1508 1744 1856 2834 3016 3161 3488 5668 6032 6322 6976 11336 11827 12064 12644 22672 23654 24128 25288 41093 45344 47308 50576 82186 90688 94616 101152 153751 164372 189232 202304 307502 328744 342983 378464 615004 657488 685966 756928 1230008 1289143 1314976 1371932 2460016 2578286 2629952 2743864 4458779 4920032 5156572 5487728 8917558 9840064 10313144 10975456 16758859 17835116 20626288 21950912 33517718 35670232 37385147 41252576 67035436 71340464 74770294 82505152 134070872 142680928 149540588 268141744 285361856 299081176 486006911 536283488 598162352 972013822 1072566976 1196324704 1944027644 2392649408 3888055288 7776110576 15552221152 31104442304