Search a number
-
+
140186297430 = 23451723442633
BaseRepresentation
bin1000001010001111000…
…0010010010001010110
3111101211211020202210000
42002203300102101112
54244100143004210
6144222314512130
713061642603334
oct2024360222126
9441754222700
10140186297430
11544a8568163
1223204135646
13102b135c36a
146adc284b54
1539a7270ac0
hex20a3c12456

140186297430 has 160 divisors (see below), whose sum is σ = 416472560064. Its totient is φ = 33654196224.

The previous prime is 140186297357. The next prime is 140186297441. The reversal of 140186297430 is 34792681041.

140186297430 is a `hidden beast` number, since 1 + 4 + 0 + 18 + 629 + 7 + 4 + 3 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 95394 + ... + 538026.

Almost surely, 2140186297430 is an apocalyptic number.

140186297430 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 140186297430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208236280032).

140186297430 is an abundant number, since it is smaller than the sum of its proper divisors (276286262634).

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

140186297430 is a wasteful number, since it uses less digits than its factorization.

140186297430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442692 (or 442683 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 140186297430 in words is "one hundred forty billion, one hundred eighty-six million, two hundred ninety-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 23 27 30 34 45 46 51 54 69 81 85 90 102 115 135 138 153 162 170 207 230 255 270 306 345 391 405 414 459 510 621 690 765 782 810 918 1035 1173 1242 1377 1530 1863 1955 2070 2295 2346 2754 3105 3519 3726 3910 4590 5865 6210 6885 7038 9315 10557 11730 13770 17595 18630 21114 31671 35190 52785 63342 105570 158355 316710 442633 885266 1327899 2213165 2655798 3983697 4426330 6639495 7524761 7967394 10180559 11951091 13278990 15049522 19918485 20361118 22574283 23902182 30541677 35853273 37623805 39836970 45148566 50902795 59755455 61083354 67722849 71706546 75247610 91625031 101805590 112871415 119510910 135445698 152708385 173069503 179266365 183250062 203168547 225742830 274875093 305416770 338614245 346139006 358532730 406337094 458125155 519208509 549750186 609505641 677228490 824625279 865347515 916250310 1015842735 1038417018 1219011282 1374375465 1557625527 1649250558 1730695030 2031685470 2596042545 2748750930 3047528205 3115251054 4123126395 4672876581 5192085090 6095056410 7788127635 8246252790 9345753162 14018629743 15576255270 23364382905 28037259486 46728765810 70093148715 140186297430