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2141313504 = 253112027759
BaseRepresentation
bin111111110100001…
…1101100111100000
312112020020222220120
41333220131213200
513341134013004
6552251440240
7104030602341
oct17750354740
95466228816
102141313504
119a9796590
124b9156080
13281824515
141645620c8
15c7ec83d9
hex7fa1d9e0

2141313504 has 48 divisors (see below), whose sum is σ = 6131946240. Its totient is φ = 648882560.

The previous prime is 2141313479. The next prime is 2141313511. The reversal of 2141313504 is 4053131412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1012824 + ... + 1014935.

It is an arithmetic number, because the mean of its divisors is an integer number (127748880).

Almost surely, 22141313504 is an apocalyptic number.

2141313504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2141313504 is an abundant number, since it is smaller than the sum of its proper divisors (3990632736).

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

2141313504 is a wasteful number, since it uses less digits than its factorization.

2141313504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027783 (or 2027775 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2141313504 is about 46274.3287795728. The cubic root of 2141313504 is about 1288.9223425764.

Adding to 2141313504 its reverse (4053131412), we get a palindrome (6194444916).

The spelling of 2141313504 in words is "two billion, one hundred forty-one million, three hundred thirteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2027759 4055518 6083277 8111036 12166554 16222072 22305349 24333108 32444144 44610698 48666216 64888288 66916047 89221396 97332432 133832094 178442792 194664864 267664188 356885584 535328376 713771168 1070656752 2141313504