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145385182291880 = 23587721601191861
BaseRepresentation
bin100001000011101000100000…
…001001010110011110101000
3201001202200120022210110202202
4201003220200021112132220
5123023442323131320010
61233113010344515332
742423506230355066
oct4103504011263650
9631680508713682
10145385182291880
1142362567246733
121438075747bb48
1363179c129106b
1427c8974d05036
1511c1c077ee6a5
hex843a202567a8

145385182291880 has 64 divisors (see below), whose sum is σ = 327506523054480. Its totient is φ = 58084770816000.

The previous prime is 145385182291841. The next prime is 145385182291933. The reversal of 145385182291880 is 88192281583541.

It can be written as a sum of positive squares in 8 ways, for example, as 133439601179236 + 11945581112644 = 11551606^2 + 3456238^2 .

It is a super-2 number, since 2×1453851822918802 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (65) coincides with the sum of the digits of its distinct prime factors.

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, 757667150 + ... + 757859010.

Almost surely, 2145385182291880 is an apocalyptic number.

145385182291880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145385182291880 is an abundant number, since it is smaller than the sum of its proper divisors (182121340762600).

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

145385182291880 is a wasteful number, since it uses less digits than its factorization.

145385182291880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214350 (or 214346 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 65.

The spelling of 145385182291880 in words is "one hundred forty-five trillion, three hundred eighty-five billion, one hundred eighty-two million, two hundred ninety-one thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 877 1754 3508 4385 7016 8770 17540 21601 35080 43202 86404 108005 172808 191861 216010 383722 432020 767444 864040 959305 1534888 1918610 3837220 7674440 18944077 37888154 75776308 94720385 151552616 168262097 189440770 336524194 378881540 673048388 757763080 841310485 1346096776 1682620970 3365241940 4144389461 6730483880 8288778922 16577557844 20721947305 33155115688 41443894610 82887789220 165775578440 3634629557297 7269259114594 14538518229188 18173147786485 29077036458376 36346295572970 72692591145940 145385182291880