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3130466118336 = 26341073356263
BaseRepresentation
bin101101100011011110010…
…100100010101011000000
3102002021021120021210020000
4231203132110202223000
5402242143311241321
610354041041120000
7442111603652034
oct55433624425300
912067246253200
103130466118336
11aa7694570477
12426856929000
13199281155aab
14ab7302581c4
155666d47b826
hex2d8de522ac0

3130466118336 has 140 divisors (see below), whose sum is σ = 9280711803792. Its totient is φ = 1043372938752.

The previous prime is 3130466118313. The next prime is 3130466118347. The reversal of 3130466118336 is 6338116640313.

3130466118336 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 466 + 1 + 183 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3130466118291 and 3130466118300.

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 19 ways as a sum of consecutive naturals, for example, 55611741 + ... + 55668003.

Almost surely, 23130466118336 is an apocalyptic number.

3130466118336 is a gapful number since it is divisible by the number (36) 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 3130466118336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4640355901896).

3130466118336 is an abundant number, since it is smaller than the sum of its proper divisors (6150245685456).

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

3130466118336 is a wasteful number, since it uses less digits than its factorization.

3130466118336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67020 (or 67001 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 3130466118336 in words is "three trillion, one hundred thirty billion, four hundred sixty-six million, one hundred eighteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 10733 21466 32199 42932 56263 64398 85864 96597 112526 128796 168789 171728 193194 225052 257592 289791 337578 343456 386388 450104 506367 515184 579582 675156 686912 772776 869373 900208 1012734 1030368 1159164 1350312 1519101 1545552 1738746 1800416 2025468 2060736 2318328 2700624 3038202 3091104 3477492 3600832 4050936 4557303 4636656 5401248 6076404 6182208 6954984 8101872 9114606 9273312 10802496 12152808 13909968 16203744 18229212 18546624 24305616 27819936 32407488 36458424 48611232 55639872 72916848 97222464 145833696 291667392 603870779 1207741558 1811612337 2415483116 3623224674 4830966232 5434837011 7246449348 9661932464 10869674022 14492898696 16304511033 19323864928 21739348044 28985797392 32609022066 38647729856 43478696088 48913533099 57971594784 65218044132 86957392176 97827066198 115943189568 130436088264 173914784352 195654132396 260872176528 347829568704 391308264792 521744353056 782616529584 1043488706112 1565233059168 3130466118336