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10234321414320 = 2435647101365063
BaseRepresentation
bin1001010011101101110100…
…0101111010100010110000
31100020101120110022102201010
42110323131011322202300
52320134342240224240
633433325442110520
72104256011452603
oct224733505724260
940211513272633
1010234321414320
1132963956a2843
12119359164b440
13593127c19083
142754b555833a
1512b3415a5280
hex94edd17a8b0

10234321414320 has 160 divisors (see below), whose sum is σ = 31807289060352. Its totient is φ = 2722202407936.

The previous prime is 10234321414309. The next prime is 10234321414381. The reversal of 10234321414320 is 2341412343201.

10234321414320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 157266109 + ... + 157331171.

Almost surely, 210234321414320 is an apocalyptic number.

10234321414320 is a gapful number since it is divisible by the number (10) 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 10234321414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15903644530176).

10234321414320 is an abundant number, since it is smaller than the sum of its proper divisors (21572967646032).

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

10234321414320 is a wasteful number, since it uses less digits than its factorization.

10234321414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66739 (or 66733 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 10234321414320 its reverse (2341412343201), we get a palindrome (12575733757521).

The spelling of 10234321414320 in words is "ten trillion, two hundred thirty-four billion, three hundred twenty-one million, four hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 647 1013 1294 1941 2026 2588 3039 3235 3882 4052 5065 5176 6078 6470 7764 8104 9705 10130 10352 12156 12940 15195 15528 16208 19410 20260 24312 25880 30390 31056 38820 40520 48624 51760 60780 65063 77640 81040 121560 130126 155280 195189 243120 260252 325315 390378 520504 650630 655411 780756 975945 1041008 1301260 1310822 1561512 1951890 1966233 2602520 2621644 3123024 3277055 3903780 3932466 5205040 5243288 6554110 7807560 7864932 9831165 10486576 13108220 15615120 15729864 19662330 26216440 31459728 39324660 42095761 52432880 65908819 78649320 84191522 126287283 131817638 157298640 168383044 197726457 210478805 252574566 263635276 329544095 336766088 395452914 420957610 505149132 527270552 631436415 659088190 673532176 790905828 841915220 988632285 1010298264 1054541104 1262872830 1318176380 1581811656 1683830440 1977264570 2020596528 2525745660 2636352760 3163623312 3367660880 3954529140 5051491320 5272705520 7909058280 10102982640 15818116560 42643005893 85286011786 127929017679 170572023572 213215029465 255858035358 341144047144 426430058930 511716070716 639645088395 682288094288 852860117860 1023432141432 1279290176790 1705720235720 2046864282864 2558580353580 3411440471440 5117160707160 10234321414320