Search a number
-
+
1351637640144 = 243211853306591
BaseRepresentation
bin10011101010110011111…
…000011010001111010000
311210012210221200100210200
4103222303320122033100
5134121123213441034
62512533405255200
7166436561243241
oct23526370321720
94705727610720
101351637640144
11481254235550
12199b58864500
139a5c721b5ac
14495c35aacc8
152525c451a99
hex13ab3e1a3d0

1351637640144 has 60 divisors (see below), whose sum is σ = 4126590678912. Its totient is φ = 409587163200.

The previous prime is 1351637640121. The next prime is 1351637640149. The reversal of 1351637640144 is 4410467361531.

1351637640144 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 637 + 6 + 4 + 0 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1351637640144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1351637640149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 426651712 + ... + 426654879.

Almost surely, 21351637640144 is an apocalyptic number.

It is an amenable number.

1351637640144 is an abundant number, since it is smaller than the sum of its proper divisors (2774953038768).

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

1351637640144 is a wasteful number, since it uses less digits than its factorization.

1351637640144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853306616 (or 853306607 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1351637640144 in words is "one trillion, three hundred fifty-one billion, six hundred thirty-seven million, six hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 853306591 1706613182 2559919773 3413226364 5119839546 6826452728 7679759319 9386372501 10239679092 13652905456 15359518638 18772745002 20479358184 28159117503 30719037276 37545490004 40958716368 56318235006 61438074552 75090980008 84477352509 112636470012 122876149104 150181960016 168954705018 225272940024 337909410036 450545880048 675818820072 1351637640144