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1380640347684 = 223413932335159
BaseRepresentation
bin10100000101110100100…
…100111101011000100100
311212222200012101120010000
4110011310210331120210
5140110022412111214
62534131334101300
7201514361216013
oct24056444753044
94788605346100
101380640347684
11492587534a34
121a36b17aa830
13a0269ab39c0
144ab753b0a7a
1525da8731809
hex1417493d624

1380640347684 has 120 divisors (see below), whose sum is σ = 3887429958720. Its totient is φ = 424754767296.

The previous prime is 1380640347677. The next prime is 1380640347701. The reversal of 1380640347684 is 4867430460831.

1380640347684 is a `hidden beast` number, since 1 + 38 + 0 + 64 + 0 + 3 + 476 + 84 = 666.

It is a super-3 number, since 3×13806403476843 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1380640347684.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39250897 + ... + 39286055.

It is an arithmetic number, because the mean of its divisors is an integer number (32395249656).

Almost surely, 21380640347684 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1380640347684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943714979360).

1380640347684 is an abundant number, since it is smaller than the sum of its proper divisors (2506789611036).

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

1380640347684 is a wasteful number, since it uses less digits than its factorization.

1380640347684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44511 (or 44500 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 1380640347684 in words is "one trillion, three hundred eighty billion, six hundred forty million, three hundred forty-seven thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 9323 18646 27969 35159 37292 55938 70318 83907 105477 111876 121199 140636 167814 210954 242398 251721 316431 335628 363597 421908 457067 484796 503442 632862 727194 755163 914134 949293 1006884 1090791 1265724 1371201 1454388 1510326 1828268 1898586 2181582 2742402 2847879 3020652 3272373 3797172 4113603 4363164 5484804 5695758 6544746 8227206 9817119 11391516 12340809 13089492 16454412 19634238 24681618 37022427 39268476 49363236 74044854 148089708 327787357 655574714 983362071 1311149428 1966724142 2950086213 3933448284 4261235641 5900172426 8522471282 8850258639 11800344852 12783706923 17044942564 17700517278 25567413846 26550775917 35401034556 38351120769 51134827692 53101551834 76702241538 106203103668 115053362307 153404483076 230106724614 345160086921 460213449228 690320173842 1380640347684