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214213141312412 = 22112191012231034239
BaseRepresentation
bin110000101101001101100010…
…001100011011001110011100
31001002110120120010112112110212
4300231031202030123032130
5211034132003133444122
62035332054130351552
763056250223154354
oct6055154214331634
91032416503475425
10214213141312412
1162289312822700
1220037b3772b5b8
13926b29bc804a8
143ac7d855a5b64
1519b7296e78ce2
hexc2d36231b39c

214213141312412 has 144 divisors (see below), whose sum is σ = 439996474982400. Its totient is φ = 90921931056000.

The previous prime is 214213141312369. The next prime is 214213141312427.

214213141312412 is nontrivially palindromic in base 10.

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 47 ways as a sum of consecutive naturals, for example, 206604389 + ... + 207638627.

Almost surely, 2214213141312412 is an apocalyptic number.

214213141312412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214213141312412 is an abundant number, since it is smaller than the sum of its proper divisors (225783333669988).

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

214213141312412 is a wasteful number, since it uses less digits than its factorization.

214213141312412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034608 (or 1034595 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The spelling of 214213141312412 in words is "two hundred fourteen trillion, two hundred thirteen billion, one hundred forty-one million, three hundred twelve thousand, four hundred twelve".

Divisors: 1 2 4 11 19 22 38 44 76 101 121 202 209 223 242 404 418 446 484 836 892 1111 1919 2222 2299 2453 3838 4237 4444 4598 4906 7676 8474 9196 9812 12221 16948 21109 22523 24442 26983 42218 45046 46607 48884 53966 84436 90092 93214 107932 186428 232199 247753 427937 464398 495506 512677 855874 928796 991012 1025354 1034239 1711748 2050708 2068478 2725283 4136956 4707307 5450566 9414614 10901132 11376629 18829228 19650541 22753258 39301082 45506516 51780377 78602164 103560754 104458139 125142919 207121508 208916278 216155951 230635297 250285838 417832556 432311902 461270594 500571676 864623804 922541188 1149039529 1984704641 2298079058 2377715461 2536988267 3969409282 4382070643 4596158116 4755430922 5073976534 7938818564 8764141286 9510861844 10147953068 12639434819 17528282572 21831751051 23294164997 25278869638 27906870937 43663502102 46588329994 48202777073 50557739276 55813741874 87327004204 93176659988 96405554146 111627483748 192811108292 240149261561 256235814967 442589134943 480298523122 512471629934 530230547803 885178269886 960597046244 1024943259868 1060461095606 1770356539772 2120922191212 2818593964637 4868480484373 5637187929274 9736960968746 11274375858548 19473921937492 53553285328103 107106570656206 214213141312412