Search a number
-
+
31433733504 = 2737112289
BaseRepresentation
bin11101010001100110…
…001011010110000000
310000010200010010000000
4131101212023112000
51003334013433004
622235050000000
72161646216625
oct352146132600
9100120103000
1031433733504
1112370583258
126113116000
132c6c425014
141742a1c34c
15c3e933c39
hex75198b580

31433733504 has 128 divisors (see below), whose sum is σ = 93919356000. Its totient is φ = 10477817856.

The previous prime is 31433733473. The next prime is 31433733509. The reversal of 31433733504 is 40533733413.

31433733504 is a `hidden beast` number, since 3 + 143 + 3 + 7 + 3 + 3 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31433733509) 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, 223792 + ... + 336080.

Almost surely, 231433733504 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 31433733504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46959678000).

31433733504 is an abundant number, since it is smaller than the sum of its proper divisors (62485622496).

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

31433733504 is an frugal number, since it uses more digits than its factorization.

31433733504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112324 (or 112294 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 36.

Subtracting 31433733504 from its reverse (40533733413), we obtain a palindrome (9099999909).

The spelling of 31433733504 in words is "thirty-one billion, four hundred thirty-three million, seven hundred thirty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1728 1944 2187 2592 2916 3456 3888 4374 5184 5832 7776 8748 10368 11664 15552 17496 23328 31104 34992 46656 69984 93312 112289 139968 224578 279936 336867 449156 673734 898312 1010601 1347468 1796624 2021202 2694936 3031803 3593248 4042404 5389872 6063606 7186496 8084808 9095409 10779744 12127212 14372992 16169616 18190818 21559488 24254424 27286227 32339232 36381636 43118976 48508848 54572454 64678464 72763272 81858681 97017696 109144908 129356928 145526544 163717362 194035392 218289816 245576043 291053088 327434724 388070784 436579632 491152086 582106176 654869448 873159264 982304172 1164212352 1309738896 1746318528 1964608344 2619477792 3492637056 3929216688 5238955584 7858433376 10477911168 15716866752 31433733504