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10295417040 = 243597442243
BaseRepresentation
bin10011001011010011…
…11001100011010000
3222120111122101010020
421211221321203100
5132041111321130
64421334303440
7513062413056
oct114551714320
928514571106
1010295417040
114403549227
121bb3ab7b80
13c80c7225c
146d94a21d6
15403cb3e10
hex265a798d0

10295417040 has 80 divisors (see below), whose sum is σ = 32244894528. Its totient is φ = 2717134848.

The previous prime is 10295417009. The next prime is 10295417059. The reversal of 10295417040 is 4071459201.

It is a happy number.

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

It is a super-2 number, since 2×102954170402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10295416992 and 10295417010.

It is a congruent number.

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, 197842 + ... + 244401.

Almost surely, 210295417040 is an apocalyptic number.

10295417040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10295417040 is an abundant number, since it is smaller than the sum of its proper divisors (21949477488).

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

10295417040 is a wasteful number, since it uses less digits than its factorization.

10295417040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442356 (or 442350 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 10295417040 in words is "ten billion, two hundred ninety-five million, four hundred seventeen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 388 485 582 776 970 1164 1455 1552 1940 2328 2910 3880 4656 5820 7760 11640 23280 442243 884486 1326729 1768972 2211215 2653458 3537944 4422430 5306916 6633645 7075888 8844860 10613832 13267290 17689720 21227664 26534580 35379440 42897571 53069160 85795142 106138320 128692713 171590284 214487855 257385426 343180568 428975710 514770852 643463565 686361136 857951420 1029541704 1286927130 1715902840 2059083408 2573854260 3431805680 5147708520 10295417040