Search a number
-
+
133944597120 = 2735449315527
BaseRepresentation
bin111110010111110111…
…0000101101010000000
3110210201211101112121110
41330233232011222000
54143304304101440
6141311105323320
712451162201335
oct1745756055200
9423654345543
10133944597120
1151895262354
1221b61936540
13c828198879
1466a931a98c
15373e2e3080
hex1f2fb85a80

133944597120 has 128 divisors (see below), whose sum is σ = 427070931840. Its totient is φ = 35708309504.

The previous prime is 133944597107. The next prime is 133944597211. The reversal of 133944597120 is 21795449331.

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

It is a super-2 number, since 2×1339445971202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 133944597120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8618797 + ... + 8634323.

It is an arithmetic number, because the mean of its divisors is an integer number (3336491655).

Almost surely, 2133944597120 is an apocalyptic number.

133944597120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133944597120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213535465920).

133944597120 is an abundant number, since it is smaller than the sum of its proper divisors (293126334720).

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

133944597120 is a wasteful number, since it uses less digits than its factorization.

133944597120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20042 (or 20030 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 133944597120 in words is "one hundred thirty-three billion, nine hundred forty-four million, five hundred ninety-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 4493 8986 13479 15527 17972 22465 26958 31054 35944 44930 46581 53916 62108 67395 71888 77635 89860 93162 107832 124216 134790 143776 155270 179720 186324 215664 232905 248432 269580 287552 310540 359440 372648 431328 465810 496864 539160 575104 621080 718880 745296 862656 931620 993728 1078320 1242160 1437760 1490592 1725312 1863240 1987456 2156640 2484320 2875520 2981184 3726480 4313280 4968640 5962368 7452960 8626560 9937280 14905920 29811840 69762811 139525622 209288433 279051244 348814055 418576866 558102488 697628110 837153732 1046442165 1116204976 1395256220 1674307464 2092884330 2232409952 2790512440 3348614928 4185768660 4464819904 5581024880 6697229856 8371537320 8929639808 11162049760 13394459712 16743074640 22324099520 26788919424 33486149280 44648199040 66972298560 133944597120