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100419378444 = 223271136226327
BaseRepresentation
bin101110110000101110…
…1100001110100001100
3100121012101202222022200
41131201131201310030
53121124330102234
6114044303441500
710153325430120
oct1354135416414
9317171688280
10100419378444
1139651137360
12175662b6290
139614677578
144c08a2b580
15292ae79d99
hex1761761d0c

100419378444 has 72 divisors (see below), whose sum is σ = 316473201408. Its totient is φ = 26082954720.

The previous prime is 100419378443. The next prime is 100419378457. The reversal of 100419378444 is 444873914001.

100419378444 is a `hidden beast` number, since 10 + 0 + 4 + 193 + 7 + 8 + 444 = 666.

It is a super-2 number, since 2×1004193784442 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 100419378444.

It is not an unprimeable number, because it can be changed into a prime (100419378443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18110392 + ... + 18115935.

Almost surely, 2100419378444 is an apocalyptic number.

100419378444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100419378444 is an abundant number, since it is smaller than the sum of its proper divisors (216053822964).

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

100419378444 is a wasteful number, since it uses less digits than its factorization.

100419378444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36226355 (or 36226350 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 100419378444 in words is "one hundred billion, four hundred nineteen million, three hundred seventy-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 36226327 72452654 108678981 144905308 217357962 253584289 326036943 398489597 434715924 507168578 652073886 760752867 796979194 1014337156 1195468791 1304147772 1521505734 1593958388 2282258601 2390937582 2789427179 3043011468 3586406373 4564517202 4781875164 5578854358 7172812746 8368281537 9129034404 11157708716 14345625492 16736563074 25104844611 33473126148 50209689222 100419378444