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140450430870 = 23354319163337
BaseRepresentation
bin1000001011001101111…
…1110111111110010110
3111102112020021010202000
42002303133313332112
54300120302241440
6144304432100130
713101330651561
oct2026337677626
9442466233660
10140450430870
1154623674562
1223278694646
1310323cacb39
146b2539d4d8
1539c0547730
hex20b37f7f96

140450430870 has 128 divisors (see below), whose sum is σ = 385257185280. Its totient is φ = 36390332160.

The previous prime is 140450430863. The next prime is 140450430877. The reversal of 140450430870 is 78034054041.

140450430870 is a `hidden beast` number, since 1 + 40 + 4 + 504 + 30 + 87 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (140450430863) and next prime (140450430877).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140450430877) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2185842 + ... + 2249178.

It is an arithmetic number, because the mean of its divisors is an integer number (3009821760).

Almost surely, 2140450430870 is an apocalyptic number.

140450430870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 140450430870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192628592640).

140450430870 is an abundant number, since it is smaller than the sum of its proper divisors (244806754410).

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

140450430870 is a wasteful number, since it uses less digits than its factorization.

140450430870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63587 (or 63581 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 140450430870 in words is "one hundred forty billion, four hundred fifty million, four hundred thirty thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 191 215 258 270 382 387 430 573 645 774 955 1146 1161 1290 1719 1910 1935 2322 2865 3438 3870 5157 5730 5805 8213 8595 10314 11610 16426 17190 24639 25785 41065 49278 51570 63337 73917 82130 123195 126674 147834 190011 221751 246390 316685 369585 380022 443502 570033 633370 739170 950055 1108755 1140066 1710099 1900110 2217510 2723491 2850165 3420198 5446982 5700330 8170473 8550495 12097367 13617455 16340946 17100990 24194734 24511419 27234910 36292101 40852365 49022838 60486835 72584202 73534257 81704730 108876303 120973670 122557095 147068514 181460505 217752606 245114190 326628909 362921010 367671285 520186781 544381515 653257818 735342570 1040373562 1088763030 1560560343 1633144545 2600933905 3121120686 3266289090 4681681029 5201867810 7802801715 9363362058 14045043087 15605603430 23408405145 28090086174 46816810290 70225215435 140450430870