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4012142100444 = 223431537536917
BaseRepresentation
bin111010011000100110010…
…011011111111111011100
3112012120001002012022110000
4322120212103133333130
51011213331334203234
612311052545214300
7562603423105632
oct72304623377734
915176032168400
104012142100444
1113075a368a425
125496b6331390
1323146052465a
14dc28db8b352
156e571e49899
hex3a6264dffdc

4012142100444 has 120 divisors (see below), whose sum is σ = 11031153775488. Its totient is φ = 1269819607680.

The previous prime is 4012142100431. The next prime is 4012142100479. The reversal of 4012142100444 is 4440012412104.

It is a happy number.

4012142100444 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 1 + 4 + 210 + 0 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 3236127 + ... + 4300790.

Almost surely, 24012142100444 is an apocalyptic number.

It is an amenable number.

4012142100444 is an abundant number, since it is smaller than the sum of its proper divisors (7019011675044).

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

4012142100444 is a wasteful number, since it uses less digits than its factorization.

4012142100444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7537017 (or 7537006 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 4012142100444 its reverse (4440012412104), we get a palindrome (8452154512548).

The spelling of 4012142100444 in words is "four trillion, twelve billion, one hundred forty-two million, one hundred thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 53 54 62 81 93 106 108 124 159 162 186 212 279 318 324 372 477 558 636 837 954 1116 1431 1643 1674 1908 2511 2862 3286 3348 4293 4929 5022 5724 6572 8586 9858 10044 14787 17172 19716 29574 44361 59148 88722 133083 177444 266166 532332 7536917 15073834 22610751 30147668 45221502 67832253 90443004 135664506 203496759 233644427 271329012 399456601 406993518 467288854 610490277 700933281 798913202 813987036 934577708 1198369803 1220980554 1401866562 1597826404 2102799843 2396739606 2441961108 2803733124 3595109409 4205599686 4793479212 6308399529 7190218818 8411199372 10785328227 12383154631 12616799058 14380437636 18925198587 21570656454 24766309262 25233598116 32355984681 37149463893 37850397174 43141312908 49532618524 64711969362 74298927786 75700794348 111448391679 129423938724 148597855572 222896783358 334345175037 445793566716 668690350074 1003035525111 1337380700148 2006071050222 4012142100444