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45331431320 = 23571375632099
BaseRepresentation
bin101010001101111101…
…101011111110011000
311100000020002022100202
4222031331223332120
51220314321300240
632454105521332
73163232544230
oct521575537630
9140006068322
1045331431320
111825245832a
1289514a3248
134375795556
1422a06a4cc0
1512a4aaa315
hexa8df6bf98

45331431320 has 128 divisors (see below), whose sum is σ = 117681984000. Its totient is φ = 15394016256.

The previous prime is 45331431307. The next prime is 45331431329. The reversal of 45331431320 is 2313413354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45331431329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21595631 + ... + 21597729.

It is an arithmetic number, because the mean of its divisors is an integer number (919390500).

Almost surely, 245331431320 is an apocalyptic number.

45331431320 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 45331431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58840992000).

45331431320 is an abundant number, since it is smaller than the sum of its proper divisors (72350552680).

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

45331431320 is a wasteful number, since it uses less digits than its factorization.

45331431320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 45331431320 its reverse (2313413354), we get a palindrome (47644844674).

The spelling of 45331431320 in words is "forty-five billion, three hundred thirty-one million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 137 140 274 280 548 563 685 959 1096 1126 1370 1918 2099 2252 2740 2815 3836 3941 4198 4504 4795 5480 5630 7672 7882 8396 9590 10495 11260 14693 15764 16792 19180 19705 20990 22520 29386 31528 38360 39410 41980 58772 73465 77131 78820 83960 117544 146930 154262 157640 287563 293860 308524 385655 539917 575126 587720 617048 771310 1079834 1150252 1181737 1437815 1542620 2012941 2159668 2300504 2363474 2699585 2875630 3085240 4025882 4319336 4726948 5399170 5751260 5908685 8051764 8272159 9453896 10064705 10798340 11502520 11817370 16103528 16544318 20129410 21596680 23634740 33088636 40258820 41360795 47269480 66177272 80517640 82721590 161897969 165443180 323795938 330886360 647591876 809489845 1133285783 1295183752 1618979690 2266571566 3237959380 4533143132 5666428915 6475918760 9066286264 11332857830 22665715660 45331431320