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1015242325040 = 245137439721067
BaseRepresentation
bin11101100011000010010…
…10000111110000110000
310121001111222112202122002
432301201022013300300
5113113204013400130
62054221302233132
7133230436243316
oct16614112076060
93531458482562
101015242325040
1136161a909339
121449167257a8
137497709aa98
14371d090a0b6
151b61e995b45
hexec61287c30

1015242325040 has 80 divisors (see below), whose sum is σ = 2378321518752. Its totient is φ = 403021903872.

The previous prime is 1015242325037. The next prime is 1015242325057. The reversal of 1015242325040 is 405232425101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10152423250402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1015242324994 and 1015242325012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48180587 + ... + 48201653.

Almost surely, 21015242325040 is an apocalyptic number.

1015242325040 is a gapful number since it is divisible by the number (10) 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 1015242325040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189160759376).

1015242325040 is an abundant number, since it is smaller than the sum of its proper divisors (1363079193712).

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

1015242325040 is a wasteful number, since it uses less digits than its factorization.

1015242325040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25614 (or 25608 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The spelling of 1015242325040 in words is "one trillion, fifteen billion, two hundred forty-two million, three hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 4397 5480 8794 10960 17588 21067 21985 35176 42134 43970 70352 84268 87940 105335 168536 175880 210670 337072 351760 421340 602389 842680 1204778 1685360 2409556 2886179 3011945 4819112 5772358 6023890 9638224 11544716 12047780 14430895 23089432 24095560 28861790 46178864 48191120 57723580 92631599 115447160 185263198 230894320 370526396 463157995 741052792 926315990 1482105584 1852631980 3705263960 7410527920 12690529063 25381058126 50762116252 63452645315 101524232504 126905290630 203048465008 253810581260 507621162520 1015242325040