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145104010040 = 235111917356939
BaseRepresentation
bin1000011100100011011…
…1110111101100111000
3111212112112210110021002
42013020313313230320
54334133111310130
6150354310304132
713324545510023
oct2071067675470
9455475713232
10145104010040
11565a1481460
1224157058048
13108b6139692
1470474461ba
153b93d70b45
hex21c8df7b38

145104010040 has 64 divisors (see below), whose sum is σ = 374909904000. Its totient is φ = 49987981440.

The previous prime is 145104010033. The next prime is 145104010081. The reversal of 145104010040 is 40010401541.

It is a super-3 number, since 3×1451040100403 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 145104009994 and 145104010021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8670110 + ... + 8686829.

It is an arithmetic number, because the mean of its divisors is an integer number (5857967250).

Almost surely, 2145104010040 is an apocalyptic number.

145104010040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145104010040 is an abundant number, since it is smaller than the sum of its proper divisors (229805893960).

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

145104010040 is a wasteful number, since it uses less digits than its factorization.

145104010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17356980 (or 17356976 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 145104010040 its reverse (40010401541), we get a palindrome (185114411581).

The spelling of 145104010040 in words is "one hundred forty-five billion, one hundred four million, ten thousand, forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 17356939 34713878 69427756 86784695 138855512 173569390 190926329 329781841 347138780 381852658 659563682 694277560 763705316 954631645 1319127364 1527410632 1648909205 1909263290 2638254728 3297818410 3627600251 3818526580 6595636820 7255200502 7637053160 13191273640 14510401004 18138001255 29020802008 36276002510 72552005020 145104010040