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3810412187142 = 23113723342115907
BaseRepresentation
bin110111011100101110010…
…000111100111000000110
3111111021100011202221000120
4313130232100330320012
5444412211004442032
612034251301122410
7542202365121621
oct67345620747006
914437304687016
103810412187142
111239a94384810
125165973b9406
132184219b4552
14d25d4038db8
15691b6bb362c
hex3772e43ce06

3810412187142 has 128 divisors (see below), whose sum is σ = 8595872782848. Its totient is φ = 1115914060800.

The previous prime is 3810412187119. The next prime is 3810412187147. The reversal of 3810412187142 is 2417812140183.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3810412187094 and 3810412187103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3810412187147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239535153 + ... + 239551059.

It is an arithmetic number, because the mean of its divisors is an integer number (67155256116).

Almost surely, 23810412187142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3810412187142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4297936391424).

3810412187142 is an abundant number, since it is smaller than the sum of its proper divisors (4785460595706).

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

3810412187142 is a wasteful number, since it uses less digits than its factorization.

3810412187142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16614.

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 3810412187142 in words is "three trillion, eight hundred ten billion, four hundred twelve million, one hundred eighty-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 233 407 421 466 699 814 842 1221 1263 1398 2442 2526 2563 4631 5126 7689 8621 9262 13893 15378 15577 15907 17242 25863 27786 31154 31814 46731 47721 51726 93462 94831 95442 98093 171347 174977 189662 196186 284493 294279 342694 349954 514041 524931 568986 588558 588559 1028082 1049862 1079023 1177118 1765677 2158046 3237069 3531354 3629441 3706331 6474138 6474149 6696847 7258882 7412662 10888323 11118993 12948298 13393694 19422447 20090541 21776646 22237986 38844894 39923851 40181082 40769641 73665317 79847702 81539282 119771553 122308923 137134247 147330634 220995951 239543106 244617846 247783339 274268494 411402741 441991902 495566678 743350017 822805482 1486700034 1508476717 1560365351 2725616729 3016953434 3120730702 4525430151 4681096053 5451233458 8176850187 9050860302 9362192106 16353700374 17164018861 34328037722 51492056583 57733517987 102984113166 115467035974 173200553961 346401107922 635068697857 1270137395714 1905206093571 3810412187142