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100244314440 = 23325278456429
BaseRepresentation
bin101110101011100000…
…1101101100101001000
3100120202012100210122200
41131113001231211020
53120300021030230
6114015051320200
710146101420334
oct1352701554510
9316665323580
10100244314440
1139571336166
1217517750060
1395b73112ba
144bcd69a7c4
15291a8e9160
hex175706d948

100244314440 has 48 divisors (see below), whose sum is σ = 325794023100. Its totient is φ = 26731817088.

The previous prime is 100244314411. The next prime is 100244314441. The reversal of 100244314440 is 44413442001.

100244314440 is a `hidden beast` number, since 100 + 244 + 314 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87508289124 + 12736025316 = 295818^2 + 112854^2 .

It is not an unprimeable number, because it can be changed into a prime (100244314441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139227855 + ... + 139228574.

Almost surely, 2100244314440 is an apocalyptic number.

100244314440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100244314440 is an abundant number, since it is smaller than the sum of its proper divisors (225549708660).

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

100244314440 is a wasteful number, since it uses less digits than its factorization.

100244314440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278456446 (or 278456439 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 100244314440 its reverse (44413442001), we get a palindrome (144657756441).

The spelling of 100244314440 in words is "one hundred billion, two hundred forty-four million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 278456429 556912858 835369287 1113825716 1392282145 1670738574 2227651432 2506107861 2784564290 3341477148 4176846435 5012215722 5569128580 6682954296 8353692870 10024431444 11138257160 12530539305 16707385740 20048862888 25061078610 33414771480 50122157220 100244314440