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214068154140 = 223253253365591
BaseRepresentation
bin1100011101011101110…
…1001100111100011100
3202110112202222221222100
43013113131030330130
512001402421413030
6242201435245100
721315544200441
oct3072735147434
9673482887870
10214068154140
118287098a675
12355a2ba9790
1317256aa1639
14a50a6599c8
15587d56b360
hex31d774cf1c

214068154140 has 72 divisors (see below), whose sum is σ = 649541456928. Its totient is φ = 57067136640.

The previous prime is 214068154099. The next prime is 214068154163. The reversal of 214068154140 is 41451860412.

214068154140 is a `hidden beast` number, since 2 + 14 + 0 + 68 + 1 + 541 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 214068154095 and 214068154104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402745 + ... + 768335.

It is an arithmetic number, because the mean of its divisors is an integer number (9021409124).

Almost surely, 2214068154140 is an apocalyptic number.

214068154140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214068154140 is an abundant number, since it is smaller than the sum of its proper divisors (435473302788).

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

214068154140 is a wasteful number, since it uses less digits than its factorization.

214068154140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368859 (or 368854 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 214068154140 in words is "two hundred fourteen billion, sixty-eight million, one hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3253 6506 9759 13012 16265 19518 29277 32530 39036 48795 58554 65060 97590 117108 146385 195180 292770 365591 585540 731182 1096773 1462364 1827955 2193546 3290319 3655910 4387092 5483865 6580638 7311820 10967730 13161276 16451595 21935460 32903190 65806380 1189267523 2378535046 3567802569 4757070092 5946337615 7135605138 10703407707 11892675230 14271210276 17839012845 21406815414 23785350460 35678025690 42813630828 53517038535 71356051380 107034077070 214068154140