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641140326024 = 2331115123516841
BaseRepresentation
bin10010101010001101111…
…00001111111010001000
32021021220011122011012220
421111012330033322020
541001023410413044
61210311422134040
764215024565332
oct11250674177210
92237804564186
10641140326024
112279a6aaa440
12a4310721320
13485c803c7a3
142306208a452
1511a26a04019
hex9546f0fe88

641140326024 has 128 divisors (see below), whose sum is σ = 1761150504960. Its totient is φ = 192888000000.

The previous prime is 641140326017. The next prime is 641140326083. The reversal of 641140326024 is 420623041146.

It is a happy number.

641140326024 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6411403260242 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93716844 + ... + 93723684.

It is an arithmetic number, because the mean of its divisors is an integer number (13758988320).

Almost surely, 2641140326024 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 641140326024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880575252480).

641140326024 is an abundant number, since it is smaller than the sum of its proper divisors (1120010178936).

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

641140326024 is a wasteful number, since it uses less digits than its factorization.

641140326024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9363 (or 9359 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 641140326024 in words is "six hundred forty-one billion, one hundred forty million, three hundred twenty-six thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 151 264 302 453 604 906 1208 1661 1812 2351 3322 3624 4702 4983 6644 6841 7053 9404 9966 13288 13682 14106 18808 19932 20523 25861 27364 28212 39864 41046 51722 54728 56424 75251 77583 82092 103444 150502 155166 164184 206888 225753 301004 310332 355001 451506 602008 620664 710002 903012 1032991 1065003 1420004 1806024 2065982 2130006 2840008 3098973 3905011 4131964 4260012 6197946 7810022 8263928 8520024 11362901 11715033 12395892 15620044 16083191 22725802 23430066 24791784 31240088 32166382 34088703 45451604 46860132 48249573 64332764 68177406 90903208 93720264 96499146 128665528 136354812 176915101 192998292 272709624 353830202 385996584 530745303 707660404 1061490606 1415320808 2122981212 2428561841 4245962424 4857123682 7285685523 9714247364 14571371046 19428494728 26714180251 29142742092 53428360502 58285484184 80142540753 106856721004 160285081506 213713442008 320570163012 641140326024