Search a number
-
+
1377799743420 = 2232529587449653
BaseRepresentation
bin10100000011001011010…
…000111010011110111100
311212201100020021220121200
4110003023100322132330
5140033213213242140
62532541422055500
7201354106404642
oct24031320723674
94781306256550
101377799743420
1149135a043a01
121a303a41a590
139cc0643ab89
144a98601b192
1525c8e176030
hex140cb43a7bc

1377799743420 has 144 divisors (see below), whose sum is σ = 4330815521760. Its totient is φ = 354138720768.

The previous prime is 1377799743413. The next prime is 1377799743469. The reversal of 1377799743420 is 243479977731.

1377799743420 is a `hidden beast` number, since 1 + 3 + 77 + 79 + 9 + 74 + 3 + 420 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2839314 + ... + 3288966.

It is an arithmetic number, because the mean of its divisors is an integer number (30075107790).

Almost surely, 21377799743420 is an apocalyptic number.

1377799743420 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 1377799743420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165407760880).

1377799743420 is an abundant number, since it is smaller than the sum of its proper divisors (2953015778340).

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

1377799743420 is a wasteful number, since it uses less digits than its factorization.

1377799743420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450284 (or 450279 counting only the distinct ones).

The product of its (nonzero) digits is 56010528, while the sum is 63.

The spelling of 1377799743420 in words is "one trillion, three hundred seventy-seven billion, seven hundred ninety-nine million, seven hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 587 870 1044 1174 1305 1740 1761 2348 2610 2935 3522 5220 5283 5870 7044 8805 10566 11740 17023 17610 21132 26415 34046 35220 51069 52830 68092 85115 102138 105660 153207 170230 204276 255345 306414 340460 449653 510690 612828 766035 899306 1021380 1348959 1532070 1798612 2248265 2697918 3064140 4046877 4496530 5395836 6744795 8093754 8993060 13039937 13489590 16187508 20234385 26079874 26979180 39119811 40468770 52159748 65199685 78239622 80937540 117359433 130399370 156479244 195599055 234718866 260798740 263946311 391198110 469437732 527892622 586797165 782396220 791838933 1055785244 1173594330 1319731555 1583677866 2347188660 2375516799 2639463110 3167355732 3959194665 4751033598 5278926220 7654443019 7918389330 9502067196 11877583995 15308886038 15836778660 22963329057 23755167990 30617772076 38272215095 45926658114 47510335980 68889987171 76544430190 91853316228 114816645285 137779974342 153088860380 229633290570 275559948684 344449935855 459266581140 688899871710 1377799743420