Search a number
-
+
214214104104 = 233711138916671
BaseRepresentation
bin1100011110000000100…
…1111101010000101000
3202110220221121222200120
43013200021331100220
512002202302312404
6242224131403240
721322265561520
oct3074011752050
9673827558616
10214214104104
1182936305a80
1235623a53520
131727b0b2c70
14a521bac680
15588b29a9d9
hex31e027d428

214214104104 has 128 divisors (see below), whose sum is σ = 719040430080. Its totient is φ = 51360019200.

The previous prime is 214214104079. The next prime is 214214104147. The reversal of 214214104104 is 401401412412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4434312 + ... + 4482359.

It is an arithmetic number, because the mean of its divisors is an integer number (5617503360).

Almost surely, 2214214104104 is an apocalyptic number.

214214104104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214214104104 is an abundant number, since it is smaller than the sum of its proper divisors (504826325976).

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

214214104104 is a wasteful number, since it uses less digits than its factorization.

214214104104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8916711 (or 8916707 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 214214104104 its reverse (401401412412), we get a palindrome (615615516516).

The spelling of 214214104104 in words is "two hundred fourteen billion, two hundred fourteen million, one hundred four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1848 2002 2184 3003 3432 4004 6006 8008 12012 24024 8916671 17833342 26750013 35666684 53500026 62416697 71333368 98083381 107000052 115916723 124833394 187250091 196166762 214000104 231833446 249666788 294250143 347750169 374500182 392333524 463666892 499333576 588500286 686583667 695500338 749000364 784667048 811417061 927333784 1177000572 1275083953 1373167334 1391000676 1498000728 1622834122 2059751001 2354001144 2434251183 2550167906 2746334668 2782001352 3245668244 3825251859 4119502002 4868502366 5100335812 5492669336 6491336488 7650503718 8239004004 8925587671 9737004732 10200671624 15301007436 16478008008 17851175342 19474009464 26776763013 30602014872 35702350684 53553526026 71404701368 107107052052 214214104104