Search a number
-
+
38356144514380 = 225711127196114861
BaseRepresentation
bin10001011100010011111000…
…10111100110010101001100
312000210210220122211000212001
420232021330113212111030
520011411340443430010
6213324323004122044
711036066006004010
oct1056117427462514
9160723818730761
1038356144514380
11112488276aa1a0
124375817236324
131852c798c8844
14968639568540
15467ae8424c3a
hex22e27c5e654c

38356144514380 has 96 divisors (see below), whose sum is σ = 101214095818752. Its totient is φ = 11861026732800.

The previous prime is 38356144514341. The next prime is 38356144514431. The reversal of 38356144514380 is 8341544165383.

It is a happy number.

38356144514380 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 (55).

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 31 ways as a sum of consecutive naturals, for example, 97861851 + ... + 98253010.

It is an arithmetic number, because the mean of its divisors is an integer number (1054313498112).

Almost surely, 238356144514380 is an apocalyptic number.

It is an amenable number.

38356144514380 is an abundant number, since it is smaller than the sum of its proper divisors (62857951304372).

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

38356144514380 is a wasteful number, since it uses less digits than its factorization.

38356144514380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196115015 (or 196115013 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 55.

The spelling of 38356144514380 in words is "thirty-eight trillion, three hundred fifty-six billion, one hundred forty-four million, five hundred fourteen thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 127 140 154 220 254 308 385 508 635 770 889 1270 1397 1540 1778 2540 2794 3556 4445 5588 6985 8890 9779 13970 17780 19558 27940 39116 48895 97790 195580 196114861 392229722 784459444 980574305 1372804027 1961148610 2157263471 2745608054 3922297220 4314526942 5491216108 6864020135 8629053884 10786317355 13728040270 15100844297 21572634710 24906587347 27456080540 30201688594 43145269420 49813174694 60403377188 75504221485 99626349388 124532936735 151008442970 174346111429 249065873470 273972460817 302016885940 348692222858 498131746940 547944921634 697384445716 871730557145 1095889843268 1369862304085 1743461114290 1917807225719 2739724608170 3486922228580 3835614451438 5479449216340 7671228902876 9589036128595 19178072257190 38356144514380