Search a number
-
+
24101015040 = 293251046051
BaseRepresentation
bin10110011100100010…
…000100111000000000
32022012122022102021200
4112130202010320000
5343324324440130
615023304221200
71512150150654
oct263442047000
968178272250
1024101015040
11a248438353
12480746a800
132371206b5b
141248c12a64
15960ce6760
hex59c884e00

24101015040 has 120 divisors (see below), whose sum is σ = 83468673288. Its totient is φ = 6426931200.

The previous prime is 24101015023. The next prime is 24101015041. The reversal of 24101015040 is 4051010142.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24101015041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 499986 + ... + 546065.

Almost surely, 224101015040 is an apocalyptic number.

24101015040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24101015040 is an abundant number, since it is smaller than the sum of its proper divisors (59367658248).

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

24101015040 is a wasteful number, since it uses less digits than its factorization.

24101015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046080 (or 1046061 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 24101015040 its reverse (4051010142), we get a palindrome (28152025182).

The spelling of 24101015040 in words is "twenty-four billion, one hundred one million, fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 1046051 2092102 3138153 4184204 5230255 6276306 8368408 9414459 10460510 12552612 15690765 16736816 18828918 20921020 25105224 31381530 33473632 37657836 41842040 47072295 50210448 62763060 66947264 75315672 83684080 94144590 100420896 125526120 133894528 150631344 167368160 188289180 200841792 251052240 267789056 301262688 334736320 376578360 401683584 502104480 535578112 602525376 669472640 753156720 803367168 1004208960 1205050752 1338945280 1506313440 1606734336 2008417920 2410101504 2677890560 3012626880 4016835840 4820203008 6025253760 8033671680 12050507520 24101015040