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100441442040 = 23351749236001
BaseRepresentation
bin101110110001011000…
…1101100011011111000
3100121020221021220212220
41131202301230123320
53121201002121130
6114050412404040
710154014112352
oct1354261543370
9317227256786
10100441442040
1139662637035
1217571776620
139619101054
144c0b9320d2
15292cd87410
hex1762c6c6f8

100441442040 has 64 divisors (see below), whose sum is σ = 319049292960. Its totient is φ = 25208832000.

The previous prime is 100441442033. The next prime is 100441442041. The reversal of 100441442040 is 40244144001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 100441442040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100441442041) 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, 24615961 + ... + 24620040.

Almost surely, 2100441442040 is an apocalyptic number.

100441442040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100441442040 is an abundant number, since it is smaller than the sum of its proper divisors (218607850920).

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

100441442040 is a wasteful number, since it uses less digits than its factorization.

100441442040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49236032 (or 49236028 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 100441442040 its reverse (40244144001), we get a palindrome (140685586041).

The spelling of 100441442040 in words is "one hundred billion, four hundred forty-one million, four hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 49236001 98472002 147708003 196944004 246180005 295416006 393888008 492360010 590832012 738540015 837012017 984720020 1181664024 1477080030 1674024034 1969440040 2511036051 2954160060 3348048068 4185060085 5022072102 5908320120 6696096136 8370120170 10044144204 12555180255 16740240340 20088288408 25110360510 33480480680 50220721020 100441442040