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31404037104 = 24321139475023
BaseRepresentation
bin11101001111110100…
…111001001111110000
310000001121020101012100
4131033310321033300
51003303413141404
622232105300400
72161135624326
oct351764711760
9100047211170
1031404037104
111235583a980
126105194700
132c6622829b
14173cacbd16
15c3c019d39
hex74fd393f0

31404037104 has 120 divisors (see below), whose sum is σ = 95920860672. Its totient is φ = 9512069760.

The previous prime is 31404037087. The next prime is 31404037109. The reversal of 31404037104 is 40173040413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31404037109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6249537 + ... + 6254559.

Almost surely, 231404037104 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 31404037104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47960430336).

31404037104 is an abundant number, since it is smaller than the sum of its proper divisors (64516823568).

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

31404037104 is a wasteful number, since it uses less digits than its factorization.

31404037104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8995 (or 8986 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 31404037104 its reverse (40173040413), we get a palindrome (71577077517).

The spelling of 31404037104 in words is "thirty-one billion, four hundred four million, thirty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 3947 5023 7894 10046 11841 15069 15788 20092 23682 30138 31576 35523 40184 43417 45207 47364 55253 60276 63152 71046 80368 86834 90414 94728 110506 120552 130251 142092 165759 173668 180828 189456 221012 241104 260502 284184 331518 347336 361656 390753 442024 497277 521004 568368 663036 694672 723312 781506 884048 994554 1042008 1326072 1563012 1989108 2084016 2652144 3126024 3978216 6252048 7956432 19825781 39651562 59477343 79303124 118954686 158606248 178432029 218083591 237909372 317212496 356864058 436167182 475818744 654250773 713728116 872334364 951637488 1308501546 1427456232 1744668728 1962752319 2617003092 2854912464 3489337456 3925504638 5234006184 7851009276 10468012368 15702018552 31404037104