Search a number
-
+
146987951940 = 22335833279517
BaseRepresentation
bin1000100011100100101…
…0100010011101000100
3112001101211202121201000
42020321022202131010
54402012403430230
6151305245533300
713422332656014
oct2107112423504
9461354677630
10146987951940
1157378959935
12245a1b74230
1310b2653a0bb
14718572dc44
153c5445ab60
hex22392a2744

146987951940 has 96 divisors (see below), whose sum is σ = 462805580160. Its totient is φ = 38724524928.

The previous prime is 146987951917. The next prime is 146987951953. The reversal of 146987951940 is 49159789641.

146987951940 is a `hidden beast` number, since 1 + 4 + 6 + 9 + 8 + 79 + 519 + 40 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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, 1594939 + ... + 1684578.

It is an arithmetic number, because the mean of its divisors is an integer number (4820891460).

Almost surely, 2146987951940 is an apocalyptic number.

146987951940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146987951940 is an abundant number, since it is smaller than the sum of its proper divisors (315817628220).

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

146987951940 is a wasteful number, since it uses less digits than its factorization.

146987951940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279618 (or 3279610 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 146987951940 in words is "one hundred forty-six billion, nine hundred eighty-seven million, nine hundred fifty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 83 90 108 135 166 180 249 270 332 415 498 540 747 830 996 1245 1494 1660 2241 2490 2988 3735 4482 4980 7470 8964 11205 14940 22410 44820 3279517 6559034 9838551 13118068 16397585 19677102 29515653 32795170 39354204 49192755 59031306 65590340 88546959 98385510 118062612 147578265 177093918 196771020 272199911 295156530 354187836 442734795 544399822 590313060 816599733 885469590 1088799644 1360999555 1633199466 1770939180 2449799199 2721999110 3266398932 4082998665 4899598398 5443998220 7349397597 8165997330 9799196796 12248995995 14698795194 16331994660 24497991990 29397590388 36746987985 48995983980 73493975970 146987951940