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214211211213432 = 233109683119890219
BaseRepresentation
bin110000101101001011101111…
…001001101011101001111000
31001002110101120121201100102110
4300231023233021223221320
5211034114030032312212
62035331134421532320
763056151335454546
oct6055135711535170
91032411517640373
10214211211213432
1162288512289784
12200376992740a0
13926b05213b8a4
143ac7c41104d96
1519b71d27c2a3c
hexc2d2ef26ba78

214211211213432 has 64 divisors (see below), whose sum is σ = 541232409168000. Its totient is φ = 70645071176064.

The previous prime is 214211211213427. The next prime is 214211211213479. The reversal of 214211211213432 is 234312112112412.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 214211211213432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58158382 + ... + 61731837.

It is an arithmetic number, because the mean of its divisors is an integer number (8456756393250).

Almost surely, 2214211211213432 is an apocalyptic number.

It is an amenable number.

214211211213432 is an abundant number, since it is smaller than the sum of its proper divisors (327021197954568).

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

214211211213432 is a wasteful number, since it uses less digits than its factorization.

214211211213432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119891020 (or 119891016 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

Adding to 214211211213432 its reverse (234312112112412), we get a palindrome (448523323325844).

The spelling of 214211211213432 in words is "two hundred fourteen trillion, two hundred eleven billion, two hundred eleven million, two hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 109 218 327 436 654 683 872 1308 1366 2049 2616 2732 4098 5464 8196 16392 74447 148894 223341 297788 446682 595576 893364 1786728 119890219 239780438 359670657 479560876 719341314 959121752 1438682628 2877365256 13068033871 26136067742 39204101613 52272135484 78408203226 81885019577 104544270968 156816406452 163770039154 245655058731 313632812904 327540078308 491310117462 655080156616 982620234924 1965240469848 8925467133893 17850934267786 26776401401679 35701868535572 53552802803358 71403737071144 107105605606716 214211211213432