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42104311340124 = 223114717377390553
BaseRepresentation
bin10011001001011001011001…
…00001010101110001011100
312112002010120211221222100010
421210230230201111301130
521004314112200340444
6225314241551203220
711603636041234035
oct1144545441256134
9175063524858303
1042104311340124
111246337a104670
124880120816510
131a6555b8cb5a7
14a57c06825a8c
154d036a6a82b9
hex264b2c855c5c

42104311340124 has 96 divisors (see below), whose sum is σ = 109461500660736. Its totient is φ = 12486666055680.

The previous prime is 42104311340107. The next prime is 42104311340129.

It is a happy number.

42104311340124 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42104311340091 and 42104311340100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42104311340129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107611632 + ... + 108002184.

It is an arithmetic number, because the mean of its divisors is an integer number (1140223965216).

Almost surely, 242104311340124 is an apocalyptic number.

42104311340124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42104311340124 is an abundant number, since it is smaller than the sum of its proper divisors (67357189320612).

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

42104311340124 is a wasteful number, since it uses less digits than its factorization.

42104311340124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407995 (or 407993 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 4210431 and 1340124, that added together give a palindrome (5550555).

The spelling of 42104311340124 in words is "forty-two trillion, one hundred four billion, three hundred eleven million, three hundred forty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 564 1034 1551 2068 3102 6204 17377 34754 52131 69508 104262 191147 208524 382294 390553 573441 764588 781106 816719 1146882 1171659 1562212 1633438 2293764 2343318 2450157 3266876 4296083 4686636 4900314 8592166 8983909 9800628 12888249 17184332 17967818 18355991 25776498 26951727 35935636 36711982 51552996 53903454 55067973 73423964 107806908 110135946 201915901 220271892 403831802 605747703 807663604 1211495406 2422990812 6786639481 13573278962 20359918443 27146557924 40719836886 74653034291 81439673772 149306068582 223959102873 298612137164 318972055607 447918205746 637944111214 895836411492 956916166821 1275888222428 1913832333642 3508692611677 3827664667284 7017385223354 10526077835031 14034770446708 21052155670062 42104311340124