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231240005120400 = 24352295736516079
BaseRepresentation
bin110100100100111111000010…
…010111001111000110010000
31010022202022212112201121101220
4310210333002113033012100
5220302114012302323100
62135450105233525040
766464352615435123
oct6444770227170620
91108668775647356
10231240005120400
1167753376526571
1221b27a41a13780
139c04aba13bbb3
14411610c63a3ba
151bb013abecaa0
hexd24fc25cf190

231240005120400 has 120 divisors (see below), whose sum is σ = 740763977892480. Its totient is φ = 61661906757120.

The previous prime is 231240005120269. The next prime is 231240005120413. The reversal of 231240005120400 is 4021500042132.

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 (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32229561 + ... + 38745639.

It is an arithmetic number, because the mean of its divisors is an integer number (6173033149104).

Almost surely, 2231240005120400 is an apocalyptic number.

231240005120400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231240005120400 is an abundant number, since it is smaller than the sum of its proper divisors (509523972772080).

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

231240005120400 is a wasteful number, since it uses less digits than its factorization.

231240005120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6545673 (or 6545662 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 231240005120400 its reverse (4021500042132), we get a palindrome (235261505162532).

The spelling of 231240005120400 in words is "two hundred thirty-one trillion, two hundred forty billion, five million, one hundred twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 29573 59146 88719 118292 147865 177438 236584 295730 354876 443595 473168 591460 709752 739325 887190 1182920 1419504 1478650 1774380 2217975 2365840 2957300 3548760 4435950 5914600 6516079 7097520 8871900 11829200 13032158 17743800 19548237 26064316 32580395 35487600 39096474 52128632 65160790 78192948 97741185 104257264 130321580 156385896 162901975 195482370 260643160 312771792 325803950 390964740 488705925 521286320 651607900 781929480 977411850 1303215800 1563858960 1954823700 2606431600 3909647400 7819294800 192700004267 385400008534 578100012801 770800017068 963500021335 1156200025602 1541600034136 1927000042670 2312400051204 2890500064005 3083200068272 3854000085340 4624800102408 4817500106675 5781000128010 7708000170680 9249600204816 9635000213350 11562000256020 14452500320025 15416000341360 19270000426700 23124000512040 28905000640050 38540000853400 46248001024080 57810001280100 77080001706800 115620002560200 231240005120400