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1401125616 = 2432111735113
BaseRepresentation
bin101001110000011…
…0111101011110000
310121122110120000100
41103200313223300
510332142004431
6351010552400
746502241222
oct12340675360
93548416010
101401125616
11659998460
12331298700
13194383c17
14d4126412
15830184e6
hex53837af0

1401125616 has 120 divisors (see below), whose sum is σ = 4303246896. Its totient is φ = 422046720.

The previous prime is 1401125611. The next prime is 1401125629. The reversal of 1401125616 is 6165211041.

1401125616 is a `hidden beast` number, since 1 + 40 + 1 + 1 + 2 + 5 + 616 = 666.

It is a super-2 number, since 2×14011256162 = 3926305983622758912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1401125616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401125611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271476 + ... + 276588.

Almost surely, 21401125616 is an apocalyptic number.

1401125616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401125616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151623448).

1401125616 is an abundant number, since it is smaller than the sum of its proper divisors (2902121280).

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

1401125616 is a wasteful number, since it uses less digits than its factorization.

1401125616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5311 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1401125616 is about 37431.6125220381. The cubic root of 1401125616 is about 1118.9886746644.

Adding to 1401125616 its reverse (6165211041), we get a palindrome (7566336657).

The spelling of 1401125616 in words is "one billion, four hundred one million, one hundred twenty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 173 176 198 264 346 396 519 528 692 792 1038 1384 1557 1584 1903 2076 2768 3114 3806 4152 5113 5709 6228 7612 8304 10226 11418 12456 15224 15339 17127 20452 22836 24912 30448 30678 34254 40904 45672 46017 56243 61356 68508 81808 91344 92034 112486 122712 137016 168729 184068 224972 245424 274032 337458 368136 449944 506187 674916 736272 884549 899888 1012374 1349832 1769098 2024748 2653647 2699664 3538196 4049496 5307294 7076392 7960941 8098992 9730039 10614588 14152784 15921882 19460078 21229176 29190117 31843764 38920156 42458352 58380234 63687528 77840312 87570351 116760468 127375056 155680624 175140702 233520936 350281404 467041872 700562808 1401125616