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145311254500 = 2253439976779
BaseRepresentation
bin1000011101010100111…
…0011100011111100100
3111220001222202120012211
42013111032130133210
54340044140121000
6150431032253204
713332643166206
oct2072516343744
9456058676184
10145311254500
1156698462275
12241b4541204
131091a05c239
147066b92776
153ba715b7ba
hex21d539c7e4

145311254500 has 96 divisors (see below), whose sum is σ = 325113909120. Its totient is φ = 56707459200.

The previous prime is 145311254447. The next prime is 145311254509. The reversal of 145311254500 is 5452113541.

It is a super-2 number, since 2×1453112545002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145311254509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21432111 + ... + 21438889.

It is an arithmetic number, because the mean of its divisors is an integer number (3386603220).

Almost surely, 2145311254500 is an apocalyptic number.

145311254500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145311254500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162556954560).

145311254500 is an abundant number, since it is smaller than the sum of its proper divisors (179802654620).

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

145311254500 is a wasteful number, since it uses less digits than its factorization.

145311254500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7838 (or 7826 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The spelling of 145311254500 in words is "one hundred forty-five billion, three hundred eleven million, two hundred fifty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 125 172 215 250 430 500 860 997 1075 1994 2150 3988 4300 4985 5375 6779 9970 10750 13558 19940 21500 24925 27116 33895 42871 49850 67790 85742 99700 124625 135580 169475 171484 214355 249250 291497 338950 428710 498500 582994 677900 847375 857420 1071775 1165988 1457485 1694750 2143550 2914970 3389500 4287100 5358875 5829940 6758663 7287425 10717750 13517326 14574850 21435500 27034652 29149700 33793315 36437125 67586630 72874250 135173260 145748500 168966575 290622509 337933150 581245018 675866300 844832875 1162490036 1453112545 1689665750 2906225090 3379331500 5812450180 7265562725 14531125450 29062250900 36327813625 72655627250 145311254500