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1424941176681 = 321126125932
BaseRepresentation
bin10100101111000101000…
…111001101011101101001
312001020000121012211212100
4110233011013031131221
5141321234420123211
63010335310404013
7204643241104611
oct24570507153551
95036017184770
101424941176681
114aa350167500
121b01b5b00609
13a44a9bb5b99
144cd78c3da41
15270ecab3156
hex14bc51cd769

1424941176681 has 81 divisors (see below), whose sum is σ = 2303953480101. Its totient is φ = 848010873600.

The previous prime is 1424941176671. The next prime is 1424941176683. The reversal of 1424941176681 is 1866711494241.

The square root of 1424941176681 is 1193709.

It is a perfect power (a square), and thus also a powerful number.

1424941176681 is a `hidden beast` number, since 1 + 4 + 2 + 494 + 1 + 1 + 76 + 6 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 313426424025 + 1111514752656 = 559845^2 + 1054284^2 .

It is not a de Polignac number, because 1424941176681 - 213 = 1424941168489 is a prime.

It is a super-2 number, since 2×14249411766812 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1424941176683) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2402935921 + ... + 2402936513.

Almost surely, 21424941176681 is an apocalyptic number.

1424941176681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1424941176681 is the 1193709-th square number.

1424941176681 is the 596855-th centered octagonal number.

It is an amenable number.

1424941176681 is a deficient number, since it is larger than the sum of its proper divisors (879012303420).

1424941176681 is an frugal number, since it uses more digits than its factorization.

1424941176681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 668 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 1424941176681 in words is "one trillion, four hundred twenty-four billion, nine hundred forty-one million, one hundred seventy-six thousand, six hundred eighty-one".

Divisors: 1 3 9 11 33 61 99 121 183 363 549 593 671 1089 1779 2013 3721 5337 6039 6523 7381 11163 19569 22143 33489 36173 40931 58707 66429 71753 108519 122793 215259 325557 351649 368379 397903 450241 645777 1054947 1193709 1350723 2206553 3164841 3581127 3868139 4052169 4376933 6619659 11604417 13130799 19858977 21450589 24272083 34813251 39392397 42549529 64351767 72816249 127648587 193055301 218448747 235956479 266992913 382945761 707869437 800978739 1308485929 2123608311 2402936217 2595521269 3925457787 7786563807 11776373361 14393345219 23359691421 43180035657 129540106971 158326797409 474980392227 1424941176681