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145401256040 = 23510354376491
BaseRepresentation
bin1000011101101010010…
…1110001100001101000
3111220022021010010010012
42013122211301201220
54340240210143130
6150444005311052
713335115166315
oct2073245614150
9456267103105
10145401256040
1156734244807
122421a705488
13109328b1aa1
147074addd0c
153baeed8995
hex21da971868

145401256040 has 64 divisors (see below), whose sum is σ = 330440722560. Its totient is φ = 57576372480.

The previous prime is 145401255949. The next prime is 145401256057. The reversal of 145401256040 is 40652104541.

It is a super-2 number, since 2×1454012560402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145401255988 and 145401256006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22397195 + ... + 22403685.

It is an arithmetic number, because the mean of its divisors is an integer number (5163136290).

Almost surely, 2145401256040 is an apocalyptic number.

145401256040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145401256040 is an abundant number, since it is smaller than the sum of its proper divisors (185039466520).

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

145401256040 is a wasteful number, since it uses less digits than its factorization.

145401256040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12042 (or 12038 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 145401256040 in words is "one hundred forty-five billion, four hundred one million, two hundred fifty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 103 206 412 515 824 1030 2060 4120 5437 6491 10874 12982 21748 25964 27185 32455 43496 51928 54370 64910 108740 129820 217480 259640 560011 668573 1120022 1337146 2240044 2674292 2800055 3342865 4480088 5348584 5600110 6685730 11200220 13371460 22400440 26742920 35291567 70583134 141166268 176457835 282332536 352915670 705831340 1411662680 3635031401 7270062802 14540125604 18175157005 29080251208 36350314010 72700628020 145401256040