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20240141651328 = 2732391113119813
BaseRepresentation
bin1001001101000100001100…
…11101000000110110000000
32122122221100021100100202010
410212202012131000312000
510123103302230320303
6111014105343052520
74156205402255214
oct446420635006600
978587307310663
1020240141651328
1164a3883336a95
12232a8125a1140
13b3a838b20301
144dd8b1660944
1525175c472c03
hex126886740d80

20240141651328 has 128 divisors (see below), whose sum is σ = 53995400870400. Its totient is φ = 6717542307840.

The previous prime is 20240141651321. The next prime is 20240141651329. The reversal of 20240141651328 is 82315614104202.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20240141651321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1021548750 + ... + 1021568562.

It is an arithmetic number, because the mean of its divisors is an integer number (421839069300).

Almost surely, 220240141651328 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 20240141651328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26997700435200).

20240141651328 is an abundant number, since it is smaller than the sum of its proper divisors (33755259219072).

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

20240141651328 is a wasteful number, since it uses less digits than its factorization.

20240141651328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31200 (or 31188 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 20240141651328 in words is "twenty trillion, two hundred forty billion, one hundred forty-one million, six hundred fifty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 239 384 478 717 956 1434 1912 2868 3824 5736 7648 11131 11472 15296 19813 22262 22944 30592 33393 39626 44524 45888 59439 66786 79252 89048 91776 118878 133572 158504 178096 237756 267144 317008 356192 475512 534288 634016 712384 951024 1068576 1268032 1424768 1902048 2137152 2536064 2660309 3804096 4274304 4735307 5320618 7608192 7980927 9470614 10641236 14205921 15961854 18941228 21282472 28411842 31923708 37882456 42564944 56823684 63847416 75764912 85129888 113647368 127694832 151529824 170259776 220538503 227294736 255389664 303059648 340519552 441077006 454589472 510779328 606119296 661615509 882154012 909178944 1021558656 1323231018 1764308024 1818357888 2646462036 3528616048 5292924072 7057232096 10585848144 14114464192 21171696288 28228928384 42343392576 52708702217 84686785152 105417404434 158126106651 210834808868 316252213302 421669617736 632504426604 843339235472 1265008853208 1686678470944 2530017706416 3373356941888 5060035412832 6746713883776 10120070825664 20240141651328