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140664097920 = 273599773483
BaseRepresentation
bin1000001100000000111…
…0111100110010000000
3111110002010022112211110
42003000032330302000
54301040002113140
6144341543443320
713106534050563
oct2030016746200
9443063275743
10140664097920
11547232417a5
1223318156540
1310359340b48
146b458dc4da
1539d41a1380
hex20c03bcc80

140664097920 has 128 divisors (see below), whose sum is σ = 448822635840. Its totient is φ = 37472292864.

The previous prime is 140664097907. The next prime is 140664097921. The reversal of 140664097920 is 29790466041.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 140664097920.

It is not an unprimeable number, because it can be changed into a prime (140664097921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1877499 + ... + 1950981.

Almost surely, 2140664097920 is an apocalyptic number.

140664097920 is a gapful number since it is divisible by the number (10) 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 140664097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224411317920).

140664097920 is an abundant number, since it is smaller than the sum of its proper divisors (308158537920).

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

140664097920 is an equidigital number, since it uses as much as digits as its factorization.

140664097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74502 (or 74490 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 140664097920 in words is "one hundred forty billion, six hundred sixty-four million, ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 997 1920 1994 2991 3988 4985 5982 7976 9970 11964 14955 15952 19940 23928 29910 31904 39880 47856 59820 63808 73483 79760 95712 119640 127616 146966 159520 191424 220449 239280 293932 319040 367415 382848 440898 478560 587864 638080 734830 881796 957120 1102245 1175728 1469660 1763592 1914240 2204490 2351456 2939320 3527184 4408980 4702912 5878640 7054368 8817960 9405824 11757280 14108736 17635920 23514560 28217472 35271840 47029120 70543680 73262551 141087360 146525102 219787653 293050204 366312755 439575306 586100408 732625510 879150612 1098938265 1172200816 1465251020 1758301224 2197876530 2344401632 2930502040 3516602448 4395753060 4688803264 5861004080 7033204896 8791506120 9377606528 11722008160 14066409792 17583012240 23444016320 28132819584 35166024480 46888032640 70332048960 140664097920