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113992970308480 = 2751511454925913
BaseRepresentation
bin11001111010110100001110…
…100000001000101110000000
3112221121121210002122011011001
4121322310032200020232000
5104420130100344332410
61042235351515101344
733003502033241344
oct3172641640105600
9487547702564131
10113992970308480
113335a168a4854a
1210950727141854
134b7b64c8994c3
1420214097d5624
15d2a34348b33a
hex67ad0e808b80

113992970308480 has 128 divisors (see below), whose sum is σ = 272765270232000. Its totient is φ = 45555236290560.

The previous prime is 113992970308439. The next prime is 113992970308493. The reversal of 113992970308480 is 84803079299311.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4399052004 + ... + 4399077916.

Almost surely, 2113992970308480 is an apocalyptic number.

113992970308480 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 113992970308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136382635116000).

113992970308480 is an abundant number, since it is smaller than the sum of its proper divisors (158772299923520).

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

113992970308480 is a wasteful number, since it uses less digits than its factorization.

113992970308480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31992 (or 31980 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 64.

The spelling of 113992970308480 in words is "one hundred thirteen trillion, nine hundred ninety-two billion, nine hundred seventy million, three hundred eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1511 3022 4549 6044 7555 9098 12088 15110 18196 22745 24176 25913 30220 36392 45490 48352 51826 60440 72784 90980 96704 103652 120880 129565 145568 181960 193408 207304 241760 259130 291136 363920 414608 483520 518260 582272 727840 829216 967040 1036520 1455680 1658432 2073040 2911360 3316864 4146080 6873539 8292160 13747078 16584320 27494156 34367695 39154543 54988312 68735390 78309086 109976624 117878237 137470780 156618172 195772715 219953248 235756474 274941560 313236344 391545430 439906496 471512948 549883120 589391185 626472688 783090860 879812992 943025896 1099766240 1178782370 1252945376 1566181720 1886051792 2199532480 2357564740 2505890752 3132363440 3772103584 4399064960 4715129480 5011781504 6264726880 7544207168 9430258960 12529453760 15088414336 18860517920 25058907520 37721035840 75442071680 178114016107 356228032214 712456064428 890570080535 1424912128856 1781140161070 2849824257712 3562280322140 5699648515424 7124560644280 11399297030848 14249121288560 22798594061696 28498242577120 56996485154240 113992970308480