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1400150016 = 2113325321
BaseRepresentation
bin101001101110100…
…1001100000000000
310121120121222202000
41103131021200000
510331414300031
6350534024000
746461036006
oct12335114000
93546558660
101400150016
11659391481
12330aa8000
13194101b45
14d3d50a76
1582dc43e6
hex53749800

1400150016 has 96 divisors (see below), whose sum is σ = 4147743600. Its totient is φ = 466698240.

The previous prime is 1400149997. The next prime is 1400150029. The reversal of 1400150016 is 6100510041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42636 + ... + 67956.

Almost surely, 21400150016 is an apocalyptic number.

1400150016 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 1400150016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073871800).

1400150016 is an abundant number, since it is smaller than the sum of its proper divisors (2747593584).

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

1400150016 is an equidigital number, since it uses as much as digits as its factorization.

1400150016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25352 (or 25326 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1400150016 is about 37418.5784871633. The cubic root of 1400150016 is about 1118.7288980925.

Adding to 1400150016 its reverse (6100510041), we get a palindrome (7500660057).

The spelling of 1400150016 in words is "one billion, four hundred million, one hundred fifty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4608 6144 6912 9216 13824 18432 25321 27648 50642 55296 75963 101284 151926 202568 227889 303852 405136 455778 607704 683667 810272 911556 1215408 1367334 1620544 1823112 2430816 2734668 3241088 3646224 4861632 5469336 6482176 7292448 9723264 10938672 12964352 14584896 19446528 21877344 25928704 29169792 38893056 43754688 51857408 58339584 77786112 87509376 116679168 155572224 175018752 233358336 350037504 466716672 700075008 1400150016