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245153102161140 = 223254331673527411
BaseRepresentation
bin110111101111011100100111…
…100100011110010011110100
31012011000102000012101211020200
4313233130213210132103310
5224113042023123124030
62225221440321000500
7102431504260133355
oct6757344744362364
91164012005354220
10245153102161140
1171127935050668
12235b4391a83130
13a6a3ab8aa0954
14447768b233d2c
151d51edc5d0d60
hexdef72791e4f4

245153102161140 has 72 divisors (see below), whose sum is σ = 760924822545888. Its totient is φ = 63853831258560.

The previous prime is 245153102161127. The next prime is 245153102161169. The reversal of 245153102161140 is 41161201351542.

245153102161140 is a `hidden beast` number, since 2 + 4 + 5 + 1 + 5 + 3 + 10 + 21 + 611 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 245153102161095 and 245153102161104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15836755966 + ... + 15836771445.

Almost surely, 2245153102161140 is an apocalyptic number.

245153102161140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245153102161140 is an abundant number, since it is smaller than the sum of its proper divisors (515771720384748).

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

245153102161140 is a wasteful number, since it uses less digits than its factorization.

245153102161140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31673527469 (or 31673527464 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 245153102161140 in words is "two hundred forty-five trillion, one hundred fifty-three billion, one hundred two million, one hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 31673527411 63347054822 95020582233 126694109644 158367637055 190041164466 285061746699 316735274110 380082328932 475102911165 570123493398 633470548220 950205822330 1140246986796 1361961678673 1425308733495 1900411644660 2723923357346 2850617466990 4085885036019 5447846714692 5701234933980 6809808393365 8171770072038 12257655108057 13619616786730 16343540144076 20429425180095 24515310216114 27239233573460 40858850360190 49030620432228 61288275540285 81717700720380 122576551080570 245153102161140