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146015606540130 = 235172659110766993
BaseRepresentation
bin100001001100110011101000…
…010111000000011101100010
3201010222221210200020110211020
4201030303220113000131202
5123114304430233241010
61234314351004230310
742520164564145245
oct4114635027003542
9633887720213736
10146015606540130
1142585964300248
121446297723b396
13636229c164c12
14280b29baab25c
1511d3303649470
hex84cce85c0762

146015606540130 has 64 divisors (see below), whose sum is σ = 371065412164608. Its totient is φ = 36645672611840.

The previous prime is 146015606540051. The next prime is 146015606540159. The reversal of 146015606540130 is 31045606510641.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8177914 + ... + 18944906.

It is an arithmetic number, because the mean of its divisors is an integer number (5797897065072).

Almost surely, 2146015606540130 is an apocalyptic number.

146015606540130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146015606540130 is an abundant number, since it is smaller than the sum of its proper divisors (225049805624478).

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

146015606540130 is a wasteful number, since it uses less digits than its factorization.

146015606540130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10793611.

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 146015606540130 in words is "one hundred forty-six trillion, fifteen billion, six hundred six million, five hundred forty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 26591 53182 79773 132955 159546 265910 398865 452047 797730 904094 1356141 2260235 2712282 4520470 6780705 10766993 13561410 21533986 32300979 53834965 64601958 107669930 161504895 183038881 323009790 366077762 549116643 915194405 1098233286 1830388810 2745583215 5491166430 286305110863 572610221726 858915332589 1431525554315 1717830665178 2863051108630 4294576662945 4867186884671 8589153325890 9734373769342 14601560654013 24335934423355 29203121308026 48671868846710 73007803270065 146015606540130