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145414101510 = 23251615712239
BaseRepresentation
bin1000011101101101011…
…0110001101000000110
3111220100011021201210100
42013123112301220012
54340302002222020
6150445144504530
713335332316546
oct2073326615006
9456304251710
10145414101510
11567405187a7
1224222a7b146
131093545b862
1470766c5326
153bb11c4a90
hex21db5b1a06

145414101510 has 24 divisors (see below), whose sum is σ = 378076664160. Its totient is φ = 38777093712.

The previous prime is 145414101493. The next prime is 145414101533. The reversal of 145414101510 is 15101414541.

It is a happy number.

145414101510 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 141 + 0 + 1 + 510 = 666.

It is a super-2 number, since 2×1454141015102 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 807856030 + ... + 807856209.

It is an arithmetic number, because the mean of its divisors is an integer number (15753194340).

Almost surely, 2145414101510 is an apocalyptic number.

145414101510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145414101510 is an abundant number, since it is smaller than the sum of its proper divisors (232662562650).

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

145414101510 is a wasteful number, since it uses less digits than its factorization.

145414101510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615712252 (or 1615712249 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The spelling of 145414101510 in words is "one hundred forty-five billion, four hundred fourteen million, one hundred one thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1615712239 3231424478 4847136717 8078561195 9694273434 14541410151 16157122390 24235683585 29082820302 48471367170 72707050755 145414101510