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231772505607040 = 2752913791151407
BaseRepresentation
bin110100101100101110111101…
…110111011000101110000000
31010101122020100102100002211211
4310230232331313120232000
5220334330042413411130
62140534452535215504
766551003516050036
oct6454567567305600
91111566312302754
10231772505607040
1167939193133682
1221bb3093217594
139c430906c1848
144133bc6004556
151bbde04c2ea2a
hexd2cbbddd8b80

231772505607040 has 128 divisors (see below), whose sum is σ = 577371248553600. Its totient is φ = 88858765836288.

The previous prime is 231772505607023. The next prime is 231772505607059. The reversal of 231772505607040 is 40706505277132.

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

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, 43032984 + ... + 48118423.

It is an arithmetic number, because the mean of its divisors is an integer number (4510712879325).

Almost surely, 2231772505607040 is an apocalyptic number.

231772505607040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231772505607040 is an abundant number, since it is smaller than the sum of its proper divisors (345598742946560).

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

231772505607040 is a wasteful number, since it uses less digits than its factorization.

231772505607040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91151592 (or 91151580 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 49.

The spelling of 231772505607040 in words is "two hundred thirty-one trillion, seven hundred seventy-two billion, five hundred five million, six hundred seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 137 145 160 232 274 290 320 464 548 580 640 685 928 1096 1160 1370 1856 2192 2320 2740 3712 3973 4384 4640 5480 7946 8768 9280 10960 15892 17536 18560 19865 21920 31784 39730 43840 63568 79460 87680 127136 158920 254272 317840 508544 635680 1271360 2542720 91151407 182302814 364605628 455757035 729211256 911514070 1458422512 1823028140 2643390803 2916845024 3646056280 5286781606 5833690048 7292112560 10573563212 11667380096 12487742759 13216954015 14584225120 21147126424 24975485518 26433908030 29168450240 42294252848 49950971036 52867816060 58336900480 62438713795 84588505696 99901942072 105735632120 124877427590 169177011392 199803884144 211471264240 249754855180 338354022784 362144540011 399607768288 422942528480 499509710360 724289080022 799215536576 845885056960 999019420720 1448578160044 1598431073152 1691770113920 1810722700055 1998038841440 2897156320088 3621445400110 3996077682880 5794312640176 7242890800220 7992155365760 11588625280352 14485781600440 23177250560704 28971563200880 46354501121408 57943126401760 115886252803520 231772505607040