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40705148380 = 225132326092
BaseRepresentation
bin100101111010001101…
…110100010111011100
310220001210220210020011
4211322031310113130
51131331004222010
630411044333004
72640466023661
oct457215642734
9126053823204
1040705148380
1116298aa44a6
127a800a4164
133ab91a5120
141d820c5a68
1510d3874a8a
hex97a3745dc

40705148380 has 72 divisors (see below), whose sum is σ = 96095536992. Its totient is φ = 14370622464.

The previous prime is 40705148359. The next prime is 40705148383. The reversal of 40705148380 is 8384150704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40705148383) 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, 15600516 + ... + 15603124.

It is an arithmetic number, because the mean of its divisors is an integer number (1334660236).

Almost surely, 240705148380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40705148380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48047768496).

40705148380 is an abundant number, since it is smaller than the sum of its proper divisors (55390388612).

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

40705148380 is a wasteful number, since it uses less digits than its factorization.

40705148380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5263 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 40705148380 in words is "forty billion, seven hundred five million, one hundred forty-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1196 1495 2609 2990 5218 5980 10436 13045 26090 33917 52180 60007 67834 120014 135668 169585 240028 300035 339170 600070 678340 780091 1200140 1560182 3120364 3900455 6806881 7800910 13613762 15601820 27227524 34034405 68068810 88489453 136137620 156558263 176978906 313116526 353957812 442447265 626233052 782791315 884894530 1565582630 1769789060 2035257419 3131165260 4070514838 8141029676 10176287095 20352574190 40705148380