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109191480185040 = 243511401910291219
BaseRepresentation
bin11000110100111100011111…
…011000111001000011010000
3112022121121021222212121011020
4120310330133120321003100
5103302443122411410130
61024121512402115440
731666552445502051
oct3064743730710320
9468547258777136
10109191480185040
1131878934a48410
12102b605994bb80
1348c09351ac776
141cd6c7827c728
15c954c3495e10
hex634f1f6390d0

109191480185040 has 160 divisors (see below), whose sum is σ = 369357648883200. Its totient is φ = 26464072911360.

The previous prime is 109191480185033. The next prime is 109191480185087. The reversal of 109191480185040 is 40581084191901.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 5464551 + ... + 15755769.

It is an arithmetic number, because the mean of its divisors is an integer number (2308485305520).

Almost surely, 2109191480185040 is an apocalyptic number.

109191480185040 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 109191480185040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184678824441600).

109191480185040 is an abundant number, since it is smaller than the sum of its proper divisors (260166168698160).

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

109191480185040 is a wasteful number, since it uses less digits than its factorization.

109191480185040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10295265 (or 10295259 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 51.

The spelling of 109191480185040 in words is "one hundred nine trillion, one hundred ninety-one billion, four hundred eighty million, one hundred eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 4019 8038 12057 16076 20095 24114 32152 40190 44209 48228 60285 64304 80380 88418 96456 120570 132627 160760 176836 192912 221045 241140 265254 321520 353672 442090 482280 530508 663135 707344 884180 964560 1061016 1326270 1768360 2122032 2652540 3536720 5305080 10291219 10610160 20582438 30873657 41164876 51456095 61747314 82329752 102912190 113203409 123494628 154368285 164659504 205824380 226406818 246989256 308736570 339610227 411648760 452813636 493978512 566017045 617473140 679220454 823297520 905627272 1132034090 1234946280 1358440908 1698051135 1811254544 2264068180 2469892560 2716881816 3396102270 4528136360 5433763632 6792204540 9056272720 13584409080 27168818160 41360409161 82720818322 124081227483 165441636644 206802045805 248162454966 330883273288 413604091610 454964500771 496324909932 620406137415 661766546576 827208183220 909929001542 992649819864 1240812274830 1364893502313 1654416366440 1819858003084 1985299639728 2274822503855 2481624549660 2729787004626 3308832732880 3639716006168 4549645007710 4963249099320 5459574009252 6824467511565 7279432012336 9099290015420 9926498198640 10919148018504 13648935023130 18198580030840 21838296037008 27297870046260 36397160061680 54595740092520 109191480185040