Search a number
-
+
140442691440 = 24351355343177
BaseRepresentation
bin1000001011001100001…
…0010110011101110000
3111102111200200221020110
42002303002112131300
54300111312111230
6144303554141320
713101205115622
oct2026302263560
9442450627213
10140442691440
115461a268837
1223275b81840
13103225001ac
146b24346c12
1539bea194b0
hex20b3096770

140442691440 has 80 divisors (see below), whose sum is σ = 435414551328. Its totient is φ = 37447753728.

The previous prime is 140442691439. The next prime is 140442691463. The reversal of 140442691440 is 44196244041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1404426914402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3231132 + ... + 3274308.

Almost surely, 2140442691440 is an apocalyptic number.

140442691440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140442691440 is an abundant number, since it is smaller than the sum of its proper divisors (294971859888).

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

140442691440 is a wasteful number, since it uses less digits than its factorization.

140442691440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56746 (or 56740 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 140442691440 in words is "one hundred forty billion, four hundred forty-two million, six hundred ninety-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 13553 27106 40659 43177 54212 67765 81318 86354 108424 129531 135530 162636 172708 203295 215885 216848 259062 271060 325272 345416 406590 431770 518124 542120 647655 650544 690832 813180 863540 1036248 1084240 1295310 1626360 1727080 2072496 2590620 3252720 3454160 5181240 10362480 585177881 1170355762 1755533643 2340711524 2925889405 3511067286 4681423048 5851778810 7022134572 8777668215 9362846096 11703557620 14044269144 17555336430 23407115240 28088538288 35110672860 46814230480 70221345720 140442691440