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231254536146000 = 2435341991986689
BaseRepresentation
bin110100100101001100100100…
…011110101100110001010000
31010022210201101020102012011020
4310211030210132230301100
5220302333242223133000
62135500511200115440
766465405662220213
oct6445144436546120
91108721336365136
10231254536146000
1167759552952134
1221b2a818305b80
139c062947768b3
144116aca46377a
151bb06db776ba0
hexd253247acc50

231254536146000 has 160 divisors (see below), whose sum is σ = 747344023171200. Its totient is φ = 61520696934400.

The previous prime is 231254536145999. The next prime is 231254536146001. The reversal of 231254536146000 is 641635452132.

It is an interprime number because it is at equal distance from previous prime (231254536145999) and next prime (231254536146001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231254536146001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43479345 + ... + 48507344.

It is an arithmetic number, because the mean of its divisors is an integer number (4670900144820).

Almost surely, 2231254536146000 is an apocalyptic number.

231254536146000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231254536146000 is an abundant number, since it is smaller than the sum of its proper divisors (516089487025200).

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

231254536146000 is a wasteful number, since it uses less digits than its factorization.

231254536146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91987134 (or 91987118 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 231254536146000 in words is "two hundred thirty-one trillion, two hundred fifty-four billion, five hundred thirty-six million, one hundred forty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 419 500 600 750 838 1000 1200 1257 1500 1676 2000 2095 2514 3000 3352 4190 5028 6000 6285 6704 8380 10056 10475 12570 16760 20112 20950 25140 31425 33520 41900 50280 52375 62850 83800 100560 104750 125700 157125 167600 209500 251400 314250 419000 502800 628500 838000 1257000 2514000 91986689 183973378 275960067 367946756 459933445 551920134 735893512 919866890 1103840268 1379800335 1471787024 1839733780 2207680536 2299667225 2759600670 3679467560 4415361072 4599334450 5519201340 6899001675 7358935120 9198668900 11038402680 11498336125 13798003350 18397337800 22076805360 22996672250 27596006700 34495008375 36794675600 38542422691 45993344500 55192013400 68990016750 77084845382 91986689000 110384026800 115627268073 137980033500 154169690764 183973378000 192712113455 231254536146 275960067000 308339381528 385424226910 462509072292 551920134000 578136340365 616678763056 770848453820 925018144584 963560567275 1156272680730 1541696907640 1850036289168 1927121134550 2312545361460 2890681701825 3083393815280 3854242269100 4625090722920 4817802836375 5781363403650 7708484538200 9250181445840 9635605672750 11562726807300 14453408509125 15416969076400 19271211345500 23125453614600 28906817018250 38542422691000 46250907229200 57813634036500 77084845382000 115627268073000 231254536146000