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1014130407160 = 235132295173079
BaseRepresentation
bin11101100000111101110…
…00011111011011111000
310120221122111021111001101
432300132320133123320
5113103414341012120
62053515102101144
7133161045142243
oct16603670373370
93527574244041
101014130407160
113610aa1a3a42
1214466627a7b4
137482a906600
1437126d8825a
151b5a705890a
hexec1ee1f6f8

1014130407160 has 96 divisors (see below), whose sum is σ = 2556018828000. Its totient is φ = 361536075264.

The previous prime is 1014130407113. The next prime is 1014130407167. The reversal of 1014130407160 is 617040314101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014130407167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2390500 + ... + 2782579.

It is an arithmetic number, because the mean of its divisors is an integer number (26625196125).

Almost surely, 21014130407160 is an apocalyptic number.

1014130407160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014130407160 is an abundant number, since it is smaller than the sum of its proper divisors (1541888420840).

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

1014130407160 is a wasteful number, since it uses less digits than its factorization.

1014130407160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5173145 (or 5173128 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 1014130407160 in words is "one trillion, fourteen billion, one hundred thirty million, four hundred seven thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 169 232 260 290 338 377 520 580 676 754 845 1160 1352 1508 1690 1885 3016 3380 3770 4901 6760 7540 9802 15080 19604 24505 39208 49010 98020 196040 5173079 10346158 20692316 25865395 41384632 51730790 67250027 103461580 134500054 150019291 206923160 269000108 300038582 336250135 538000216 600077164 672500270 750096455 874250351 1200154328 1345000540 1500192910 1748500702 1950250783 2690001080 3000385820 3497001404 3900501566 4371251755 6000771640 6994002808 7801003132 8742503510 9751253915 15602006264 17485007020 19502507830 25353260179 34970014040 39005015660 50706520358 78010031320 101413040716 126766300895 202826081432 253532601790 507065203580 1014130407160