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45255420153040 = 24541101119136447
BaseRepresentation
bin10100100101000110110010…
…01111100000110011010000
312221020101011001010022000211
422102203121033200303100
521412431100024344130
6240130015241053504
712350411333222116
oct1222433117406320
9187211131108024
1045255420153040
1113468796962aa9
1250aa978787294
131c3374c625a56
14b26534463ab6
155372e6003a2a
hex2928d93e0cd0

45255420153040 has 80 divisors (see below), whose sum is σ = 107787021189120. Its totient is φ = 17660347683840.

The previous prime is 45255420152939. The next prime is 45255420153043. The reversal of 45255420153040 is 4035102455254.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 45255420152984 and 45255420153002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45255420153043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331602097 + ... + 331738543.

It is an arithmetic number, because the mean of its divisors is an integer number (1347337764864).

Almost surely, 245255420153040 is an apocalyptic number.

45255420153040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45255420153040 is an abundant number, since it is smaller than the sum of its proper divisors (62531601036080).

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

45255420153040 is a wasteful number, since it uses less digits than its factorization.

45255420153040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237620 (or 237614 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 40.

The spelling of 45255420153040 in words is "forty-five trillion, two hundred fifty-five billion, four hundred twenty million, one hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 101119 136447 202238 272894 404476 505595 545788 682235 808952 1011190 1091576 1364470 1617904 2022380 2183152 2728940 4044760 4145879 5457880 5594327 8089520 8291758 10915760 11188654 16583516 20729395 22377308 27971635 33167032 41458790 44754616 55943270 66334064 82917580 89509232 111886540 165835160 223773080 331670320 447546160 13797384193 27594768386 55189536772 68986920965 110379073544 137973841930 220758147088 275947683860 551895367720 565692751913 1103790735440 1131385503826 2262771007652 2828463759565 4525542015304 5656927519130 9051084030608 11313855038260 22627710076520 45255420153040