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1401154056 = 233289218657
BaseRepresentation
bin101001110000011…
…1110101000001000
310121122112000000200
41103200332220020
510332143412211
6351011332200
746502420151
oct12340765010
93548460020
101401154056
11659a07865
123312b1060
13194393b53
14d4132928
1583021b56
hex5383ea08

1401154056 has 48 divisors (see below), whose sum is σ = 3837447900. Its totient is φ = 461801472.

The previous prime is 1401154021. The next prime is 1401154063. The reversal of 1401154056 is 6504511041.

1401154056 is a `hidden beast` number, since 140 + 115 + 405 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1372702500 + 28451556 = 37050^2 + 5334^2 .

It is a super-3 number, since 3×14011540563 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102921 + ... + 115736.

Almost surely, 21401154056 is an apocalyptic number.

It is an amenable number.

1401154056 is an abundant number, since it is smaller than the sum of its proper divisors (2436293844).

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

1401154056 is a wasteful number, since it uses less digits than its factorization.

1401154056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218758 (or 218751 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1401154056 is about 37431.9924129080. The cubic root of 1401154056 is about 1118.9962456779.

Adding to 1401154056 its reverse (6504511041), we get a palindrome (7905665097).

The spelling of 1401154056 in words is "one billion, four hundred one million, one hundred fifty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 2136 3204 6408 218657 437314 655971 874628 1311942 1749256 1967913 2623884 3935826 5247768 7871652 15743304 19460473 38920946 58381419 77841892 116762838 155683784 175144257 233525676 350288514 467051352 700577028 1401154056