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42121500344 = 2373111395491
BaseRepresentation
bin100111001110101000…
…110001011010111000
311000201112000220212022
4213032220301122320
51142231101002334
631203401534012
73020544563000
oct471650613270
9130645026768
1042121500344
1116955541710
1281b64a4308
133c8375a701
142078253000
151167d9982e
hex9cea316b8

42121500344 has 64 divisors (see below), whose sum is σ = 100475424000. Its totient is φ = 16410962400.

The previous prime is 42121500331. The next prime is 42121500353. The reversal of 42121500344 is 44300512124.

42121500344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 667562 + ... + 727929.

It is an arithmetic number, because the mean of its divisors is an integer number (1569928500).

Almost surely, 242121500344 is an apocalyptic number.

42121500344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42121500344 is an abundant number, since it is smaller than the sum of its proper divisors (58353923656).

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

42121500344 is a wasteful number, since it uses less digits than its factorization.

42121500344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395529 (or 1395511 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The spelling of 42121500344 in words is "forty-two billion, one hundred twenty-one million, five hundred thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 343 392 539 616 686 1078 1372 2156 2744 3773 4312 7546 15092 30184 1395491 2790982 5581964 9768437 11163928 15350401 19536874 30700802 39073748 61401604 68379059 78147496 107452807 122803208 136758118 214905614 273516236 429811228 478653413 547032472 752169649 859622456 957306826 1504339298 1914613652 3008678596 3829227304 5265187543 6017357192 10530375086 21060750172 42121500344