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104014606003542 = 233133141291157579
BaseRepresentation
bin10111101001100111001001…
…101001000110110101010110
3111122021200212201210002101000
4113221213021221012311112
5102113133403114103132
61005115352250044130
730623543621136153
oct2751471151066526
9448250781702330
10104014606003542
113016238a485453
12b7ba889119646
1346066c5c6b910
141b98495cd522a
15c059d2bb487c
hex5e99c9a46d56

104014606003542 has 128 divisors (see below), whose sum is σ = 257016098304000. Its totient is φ = 30964563256320.

The previous prime is 104014606003489. The next prime is 104014606003547. The reversal of 104014606003542 is 245300606410401.

104014606003542 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 1 + 4 + 6 + 0 + 600 + 3 + 5 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 104014606003497 and 104014606003506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104014606003547) 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, 89276509 + ... + 90434087.

It is an arithmetic number, because the mean of its divisors is an integer number (2007938268000).

Almost surely, 2104014606003542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104014606003542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128508049152000).

104014606003542 is an abundant number, since it is smaller than the sum of its proper divisors (153001492300458).

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

104014606003542 is a wasteful number, since it uses less digits than its factorization.

104014606003542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161763 (or 1161757 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 104014606003542 in words is "one hundred four trillion, fourteen billion, six hundred six million, three thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 93 117 186 234 279 351 403 558 702 806 837 1209 1674 2418 3627 4129 7254 8258 10881 12387 21762 24774 37161 53677 74322 107354 111483 127999 161031 222966 255998 322062 383997 483093 767994 966186 1151991 1157579 1449279 1663987 2303982 2315158 2898558 3327974 3455973 3472737 4991961 6911946 6945474 9983922 10418211 14975883 15048527 20836422 29951766 30097054 31254633 35884949 44927649 45145581 62509266 71769898 89855298 90291162 107654847 135436743 215309694 270873486 322964541 406310229 466504337 645929082 812620458 933008674 968893623 1399513011 1937787246 2799026022 4198539033 4779643691 8397078066 9559287382 12595617099 14338931073 25191234198 28677862146 43016793219 62135367983 86033586438 124270735966 129050379657 148168954421 186406103949 258100759314 296337908842 372812207898 444506863263 559218311847 889013726526 1118436623694 1333520589789 1677654935541 1926196407473 2667041179578 3355309871082 3852392814946 4000561769367 5778589222419 8001123538734 11557178444838 17335767667257 34671535334514 52007303001771 104014606003542