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31001240440 = 23543142912613
BaseRepresentation
bin11100110111110100…
…010110001101111000
32222000112022012001101
4130313310112031320
51001442304143230
622124120101144
72145145124122
oct346764261570
988015265041
1031001240440
1112169434875
1260123047b4
132c00947a71
1417013da212
15c169a2aca
hex737d16378

31001240440 has 64 divisors (see below), whose sum is σ = 71430559200. Its totient is φ = 12102676992.

The previous prime is 31001240429. The next prime is 31001240461. The reversal of 31001240440 is 4404210013.

It is a super-2 number, since 2×310012404402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2451574 + ... + 2464186.

Almost surely, 231001240440 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 31001240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35715279600).

31001240440 is an abundant number, since it is smaller than the sum of its proper divisors (40429318760).

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

31001240440 is a wasteful number, since it uses less digits than its factorization.

31001240440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14096 (or 14092 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 31001240440 its reverse (4404210013), we get a palindrome (35405450453).

It can be divided in two parts, 31001 and 240440, that added together give a square (271441 = 5212).

The spelling of 31001240440 in words is "thirty-one billion, one million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1429 1720 2858 5716 7145 11432 12613 14290 25226 28580 50452 57160 61447 63065 100904 122894 126130 245788 252260 307235 491576 504520 542359 614470 1084718 1228940 2169436 2457880 2711795 4338872 5423590 10847180 18023977 21694360 36047954 72095908 90119885 144191816 180239770 360479540 720959080 775031011 1550062022 3100124044 3875155055 6200248088 7750310110 15500620220 31001240440