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45312340640 = 255741986767
BaseRepresentation
bin101010001100110100…
…110111001010100000
311022221220011101212112
4222030310313022200
51220244424400030
632452144414452
73162611353250
oct521464671240
9138856141775
1045312340640
11182426a9206
128947017428
13437183cca8
14229bd35960
1512a3088a95
hexa8cd372a0

45312340640 has 96 divisors (see below), whose sum is σ = 125327430144. Its totient is φ = 15156725760.

The previous prime is 45312340637. The next prime is 45312340669. The reversal of 45312340640 is 4604321354.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 45312340597 and 45312340606.

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, 447464 + ... + 539303.

It is an arithmetic number, because the mean of its divisors is an integer number (1305494064).

Almost surely, 245312340640 is an apocalyptic number.

45312340640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45312340640 is an abundant number, since it is smaller than the sum of its proper divisors (80015089504).

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

45312340640 is a wasteful number, since it uses less digits than its factorization.

45312340640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986830 (or 986822 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 45312340640 its reverse (4604321354), we get a palindrome (49916661994).

The spelling of 45312340640 in words is "forty-five billion, three hundred twelve million, three hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 70 80 82 112 140 160 164 205 224 280 287 328 410 560 574 656 820 1120 1148 1312 1435 1640 2296 2870 3280 4592 5740 6560 9184 11480 22960 45920 986767 1973534 3947068 4933835 6907369 7894136 9867670 13814738 15788272 19735340 27629476 31576544 34536845 39470680 40457447 55258952 69073690 78941360 80914894 110517904 138147380 157882720 161829788 202287235 221035808 276294760 283202129 323659576 404574470 552589520 566404258 647319152 809148940 1105179040 1132808516 1294638304 1416010645 1618297880 2265617032 2832021290 3236595760 4531234064 5664042580 6473191520 9062468128 11328085160 22656170320 45312340640