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100440220140 = 223251342923171
BaseRepresentation
bin101110110001010110…
…1000010000111101100
3100121020211222211202100
41131202231002013230
53121200144021030
6114050330255100
710154000533101
oct1354255020754
9317224884670
10100440220140
1139661981aa7
1217571287490
139618a93b30
144c0b6d4aa8
15292cbe5360
hex1762b421ec

100440220140 has 72 divisors (see below), whose sum is σ = 328104726768. Its totient is φ = 24723745920.

The previous prime is 100440220109. The next prime is 100440220213. The reversal of 100440220140 is 41022044001.

100440220140 is a `hidden beast` number, since 1 + 0 + 0 + 440 + 220 + 1 + 4 + 0 = 666.

It is a super-3 number, since 3×1004402201403 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21459246 + ... + 21463925.

It is an arithmetic number, because the mean of its divisors is an integer number (4557010094).

Almost surely, 2100440220140 is an apocalyptic number.

100440220140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100440220140 is an abundant number, since it is smaller than the sum of its proper divisors (227664506628).

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

100440220140 is a wasteful number, since it uses less digits than its factorization.

100440220140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42923199 (or 42923194 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100440220140 its reverse (41022044001), we get a palindrome (141462264141).

The spelling of 100440220140 in words is "one hundred billion, four hundred forty million, two hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 42923171 85846342 128769513 171692684 214615855 257539026 386308539 429231710 515078052 558001223 643847565 772617078 858463420 1116002446 1287695130 1545234156 1674003669 1931542695 2232004892 2575390260 2790006115 3348007338 3863085390 5022011007 5580012230 6696014676 7726170780 8370018345 10044022014 11160024460 16740036690 20088044028 25110055035 33480073380 50220110070 100440220140