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2145425202040 = 2353744313992339
BaseRepresentation
bin11111001110000101010…
…011101001101101111000
321121002201101000112211011
4133032011103221231320
5240122312322431130
64321332243443304
7311000431216651
oct37160523515570
97532641015734
102145425202040
1175796266057a
122a796a686534
1312740b0ab693
1475ba6824528
153ac1a14652a
hex1f3854e9b78

2145425202040 has 128 divisors (see below), whose sum is σ = 4974540480000. Its totient is φ = 832140062208.

The previous prime is 2145425202031. The next prime is 2145425202059. The reversal of 2145425202040 is 402025245412.

It is a junction number, because it is equal to n+sod(n) for n = 2145425201993 and 2145425202011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 917239191 + ... + 917241529.

It is an arithmetic number, because the mean of its divisors is an integer number (38863597500).

Almost surely, 22145425202040 is an apocalyptic number.

2145425202040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145425202040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487270240000).

2145425202040 is an abundant number, since it is smaller than the sum of its proper divisors (2829115277960).

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

2145425202040 is a wasteful number, since it uses less digits than its factorization.

2145425202040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4229 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 31.

The spelling of 2145425202040 in words is "two trillion, one hundred forty-five billion, four hundred twenty-five million, two hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 443 740 886 1399 1480 1772 2215 2339 2798 3544 4430 4678 5596 6995 8860 9356 11192 11695 13990 16391 17720 18712 23390 27980 32782 46780 51763 55960 65564 81955 86543 93560 103526 131128 163910 173086 207052 258815 327820 346172 414104 432715 517630 619757 655640 692344 865430 1035260 1036177 1239514 1730860 2070520 2072354 2479028 3098785 3272261 3461720 4144708 4958056 5180885 6197570 6544522 8289416 10361770 12395140 13089044 16361305 20723540 22931009 24790280 26178088 32722610 38338549 41447080 45862018 65445220 76677098 91724036 114655045 121073657 130890440 153354196 183448072 191692745 229310090 242147314 306708392 383385490 458620180 484294628 605368285 766770980 917240360 968589256 1210736570 1449611623 1533541960 2421473140 2899223246 4842946280 5798446492 7248058115 11596892984 14496116230 28992232460 53635630051 57984464920 107271260102 214542520204 268178150255 429085040408 536356300510 1072712601020 2145425202040