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101444019408 = 2433234824119
BaseRepresentation
bin101111001111010001…
…0001110010011010000
3100200211210211010111000
41132132202032103100
53130224132110113
6114334105222000
710220606636424
oct1363642162320
9320753733430
10101444019408
113a027560276
12177b1491900
139748a313b4
144ca4b50b84
15298adc7373
hex179e88e4d0

101444019408 has 40 divisors (see below), whose sum is σ = 291181908800. Its totient is φ = 33814672992.

The previous prime is 101444019367. The next prime is 101444019431. The reversal of 101444019408 is 804910444101.

101444019408 is a `hidden beast` number, since 10 + 14 + 440 + 194 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117411628 + ... + 117412491.

It is an arithmetic number, because the mean of its divisors is an integer number (7279547720).

Almost surely, 2101444019408 is an apocalyptic number.

101444019408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101444019408 is an abundant number, since it is smaller than the sum of its proper divisors (189737889392).

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

101444019408 is a wasteful number, since it uses less digits than its factorization.

101444019408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234824136 (or 234824124 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 101444019408 in words is "one hundred one billion, four hundred forty-four million, nineteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 234824119 469648238 704472357 939296476 1408944714 1878592952 2113417071 2817889428 3757185904 4226834142 5635778856 6340251213 8453668284 11271557712 12680502426 16907336568 25361004852 33814673136 50722009704 101444019408