Search a number
-
+
231500045040 = 243511653134287
BaseRepresentation
bin1101011110011001111…
…0100101101011110000
3211010112122011202211020
43113212132211223300
512243103002420130
6254203305215440
722503533626005
oct3274636455360
9733478152736
10231500045040
118a1a6816280
1238a48a91580
1318aa43c0b94
14b2c18418ac
15604db05e10
hex35e67a5af0

231500045040 has 160 divisors (see below), whose sum is σ = 784095814656. Its totient is φ = 56034862080.

The previous prime is 231500045003. The next prime is 231500045057. The reversal of 231500045040 is 40540005132.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 231500045040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1656777 + ... + 1791063.

Almost surely, 2231500045040 is an apocalyptic number.

231500045040 is a gapful number since it is divisible by the number (20) 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 231500045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392047907328).

231500045040 is an abundant number, since it is smaller than the sum of its proper divisors (552595769616).

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

231500045040 is a wasteful number, since it uses less digits than its factorization.

231500045040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134967 (or 134961 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 231500045040 in words is "two hundred thirty-one billion, five hundred million, forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 653 660 880 1306 1320 1959 2612 2640 3265 3918 5224 6530 7183 7836 9795 10448 13060 14366 15672 19590 21549 26120 28732 31344 35915 39180 43098 52240 57464 71830 78360 86196 107745 114928 134287 143660 156720 172392 215490 268574 287320 344784 402861 430980 537148 574640 671435 805722 861960 1074296 1342870 1477157 1611444 1723920 2014305 2148592 2685740 2954314 3222888 4028610 4431471 5371480 5908628 6445776 7385785 8057220 8862942 10742960 11817256 14771570 16114440 17725884 22157355 23634512 29543140 32228880 35451768 44314710 59086280 70903536 87689411 88629420 118172560 175378822 177258840 263068233 350757644 354517680 438447055 526136466 701515288 876894110 964583521 1052272932 1315341165 1403030576 1753788220 1929167042 2104545864 2630682330 2893750563 3507576440 3858334084 4209091728 4822917605 5261364660 5787501126 7015152880 7716668168 9645835210 10522729320 11575002252 14468752815 15433336336 19291670420 21045458640 23150004504 28937505630 38583340840 46300009008 57875011260 77166681680 115750022520 231500045040