Search a number
-
+
140032134021300 = 2235223179113377163
BaseRepresentation
bin11111110101101111000101…
…100110110000000010110100
3200100210221102012001221212020
4133311233011212300002310
5121323241302302140200
61213453512502353140
741331662551666263
oct3765570546600264
9610727365057766
10140032134021300
1140689327030044
12138571ba42b7b0
136019c86c45aa1
14268183cd1a5da
15112c85564cea0
hex7f5bc59b00b4

140032134021300 has 144 divisors (see below), whose sum is σ = 425137154480640. Its totient is φ = 35518797311360.

The previous prime is 140032134021289. The next prime is 140032134021301. The reversal of 140032134021300 is 3120431230041.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140032134021301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55453482 + ... + 57923681.

It is an arithmetic number, because the mean of its divisors is an integer number (2952341350560).

Almost surely, 2140032134021300 is an apocalyptic number.

140032134021300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140032134021300 is an abundant number, since it is smaller than the sum of its proper divisors (285105020459340).

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

140032134021300 is a wasteful number, since it uses less digits than its factorization.

140032134021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113377382 (or 113377375 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 140032134021300 its reverse (3120431230041), we get a palindrome (143152565251341).

The spelling of 140032134021300 in words is "one hundred forty trillion, thirty-two billion, one hundred thirty-four million, twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 179 230 276 300 345 358 460 537 575 690 716 895 1074 1150 1380 1725 1790 2148 2300 2685 3450 3580 4117 4475 5370 6900 8234 8950 10740 12351 13425 16468 17900 20585 24702 26850 41170 49404 53700 61755 82340 102925 123510 205850 247020 308775 411700 617550 1235100 113377163 226754326 340131489 453508652 566885815 680262978 1133771630 1360525956 1700657445 2267543260 2607674749 2834429075 3401314890 5215349498 5668858150 6802629780 7823024247 8503287225 10430698996 11337716300 13038373745 15646048494 17006574450 20294512177 26076747490 31292096988 34013148900 39115121235 40589024354 52153494980 60883536531 65191868725 78230242470 81178048708 101472560885 121767073062 130383737450 156460484940 195575606175 202945121770 243534146124 260767474900 304417682655 391151212350 405890243540 466773780071 507362804425 608835365310 782302424700 933547560142 1014725608850 1217670730620 1400321340213 1522088413275 1867095120284 2029451217700 2333868900355 2800642680426 3044176826550 4667737800710 5601285360852 6088353653100 7001606701065 9335475601420 11669344501775 14003213402130 23338689003550 28006426804260 35008033505325 46677378007100 70016067010650 140032134021300