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102042441000040 = 23561103406025947
BaseRepresentation
bin10111001100111010011011…
…011100101010010001101000
3111101022011101011101120022011
4113030322123130222101220
5101333330404344000130
61001005352241405304
730331215546166312
oct2714723334522150
9441264334346264
10102042441000040
112a571a57781502
12b540613039834
1344c273a3a2298
141b2ac481227b2
15bbe55870852a
hex5cce9b72a468

102042441000040 has 64 divisors (see below), whose sum is σ = 235624978143360. Its totient is φ = 39758060632320.

The previous prime is 102042441000029. The next prime is 102042441000061. The reversal of 102042441000040 is 40000144240201.

It is a junction number, because it is equal to n+sod(n) for n = 102042440999975 and 102042441000020.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202761654 + ... + 203264293.

It is an arithmetic number, because the mean of its divisors is an integer number (3681640283490).

Almost surely, 2102042441000040 is an apocalyptic number.

102042441000040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102042441000040 is an abundant number, since it is smaller than the sum of its proper divisors (133582537143320).

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

102042441000040 is a wasteful number, since it uses less digits than its factorization.

102042441000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406026122 (or 406026118 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 102042441000040 its reverse (40000144240201), we get a palindrome (142042585240241).

The spelling of 102042441000040 in words is "one hundred two trillion, forty-two billion, four hundred forty-one million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 61 103 122 206 244 305 412 488 515 610 824 1030 1220 2060 2440 4120 6283 12566 25132 31415 50264 62830 125660 251320 406025947 812051894 1624103788 2030129735 3248207576 4060259470 8120518940 16241037880 24767582767 41820672541 49535165534 83641345082 99070331068 123837913835 167282690164 198140662136 209103362705 247675827670 334565380328 418206725410 495351655340 836413450820 990703310680 1672826901640 2551061025001 5102122050002 10204244100004 12755305125005 20408488200008 25510610250010 51021220500020 102042441000040