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40530768344 = 23114320295279
BaseRepresentation
bin100101101111110100…
…100111000111011000
310212121122210100210022
4211233310213013120
51131001334041334
630341455010012
72633250563243
oct455764470730
9125548710708
1040530768344
1116209620170
127a31809908
133a8c01b281
141d66c9225a
1510c33cb82e
hex96fd271d8

40530768344 has 64 divisors (see below), whose sum is σ = 84889728000. Its totient is φ = 17982357120.

The previous prime is 40530768319. The next prime is 40530768353. The reversal of 40530768344 is 44386703504.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 40530768295 and 40530768304.

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, 7675097 + ... + 7680375.

It is an arithmetic number, because the mean of its divisors is an integer number (1326402000).

Almost surely, 240530768344 is an apocalyptic number.

40530768344 is a gapful number since it is divisible by the number (44) 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 40530768344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42444864000).

40530768344 is an abundant number, since it is smaller than the sum of its proper divisors (44358959656).

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

40530768344 is a wasteful number, since it uses less digits than its factorization.

40530768344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7368 (or 7364 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 44.

The spelling of 40530768344 in words is "forty billion, five hundred thirty million, seven hundred sixty-eight thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 344 473 946 1892 2029 3784 4058 5279 8116 10558 16232 21116 22319 42232 44638 58069 87247 89276 116138 174494 178552 226997 232276 348988 453994 464552 697976 907988 959717 1815976 1919434 2496967 3838868 4993934 7677736 9987868 10711091 19975736 21422182 42844364 85688728 117822001 235644002 460576913 471288004 921153826 942576008 1842307652 3684615304 5066346043 10132692086 20265384172 40530768344