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42984260440 = 23511105192951
BaseRepresentation
bin101000000010000011…
…111100001101011000
311002221122110200012221
4220002003330031120
51201012432313230
631425141513424
73051122120362
oct500203741530
9132848420187
1042984260440
1117258549090
1283b7412874
134090415944
14211aa77d32
1511b89bc27a
hexa020fc358

42984260440 has 64 divisors (see below), whose sum is σ = 105608344320. Its totient is φ = 15615600000.

The previous prime is 42984260411. The next prime is 42984260461. The reversal of 42984260440 is 4406248924.

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, 415965 + ... + 508915.

It is an arithmetic number, because the mean of its divisors is an integer number (1650130380).

Almost surely, 242984260440 is an apocalyptic number.

42984260440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42984260440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52804172160).

42984260440 is an abundant number, since it is smaller than the sum of its proper divisors (62624083880).

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

42984260440 is a wasteful number, since it uses less digits than its factorization.

42984260440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94024 (or 94020 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The spelling of 42984260440 in words is "forty-two billion, nine hundred eighty-four million, two hundred sixty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1051 2102 4204 5255 8408 10510 11561 21020 23122 42040 46244 57805 92488 92951 115610 185902 231220 371804 462440 464755 743608 929510 1022461 1859020 2044922 3718040 4089844 5112305 8179688 10224610 20449220 40898440 97691501 195383002 390766004 488457505 781532008 976915010 1074606511 1953830020 2149213022 3907660040 4298426044 5373032555 8596852088 10746065110 21492130220 42984260440