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6117142374040 = 235491613508097
BaseRepresentation
bin101100100000100001000…
…0110010010011010011000
3210122210102011120201112011
41121001002012102122120
51300210401421432130
621002102034355304
71200643330156435
oct131010206223230
923583364521464
106117142374040
111a492a143a925
1282966272bb34
13354ac84c1719
141720dd7d0b8c
15a91c311e52a
hex59042192698

6117142374040 has 64 divisors (see below), whose sum is σ = 13814127776160. Its totient is φ = 2437885255680.

The previous prime is 6117142374023. The next prime is 6117142374047. The reversal of 6117142374040 is 404732417116.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 6117142373984 and 6117142374002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6117142374047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11785272 + ... + 12293368.

Almost surely, 26117142374040 is an apocalyptic number.

It is an amenable number.

6117142374040 is an abundant number, since it is smaller than the sum of its proper divisors (7696985402120).

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

6117142374040 is a wasteful number, since it uses less digits than its factorization.

6117142374040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509212 (or 509208 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 6117142374040 in words is "six trillion, one hundred seventeen billion, one hundred forty-two million, three hundred seventy-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 491 613 982 1226 1964 2452 2455 3065 3928 4904 4910 6130 9820 12260 19640 24520 300983 508097 601966 1016194 1203932 1504915 2032388 2407864 2540485 3009830 4064776 5080970 6019660 10161940 12039320 20323880 249475627 311463461 498951254 622926922 997902508 1245853844 1247378135 1557317305 1995805016 2491707688 2494756270 3114634610 4989512540 6229269220 9979025080 12458538440 152928559351 305857118702 611714237404 764642796755 1223428474808 1529285593510 3058571187020 6117142374040