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2141332102400 = 28521917609639
BaseRepresentation
bin11111001010010001010…
…101101101110100000000
321120201011010010112200012
4133022101111231310000
5240040422004234100
64315414150244052
7310464130360601
oct37122125556400
97521133115605
102141332102400
117561521691a7
122a7007956628
13126c080c122a
14758d8d97da8
153aa7ab31135
hex1f29156dd00

2141332102400 has 108 divisors (see below), whose sum is σ = 5579086144800. Its totient is φ = 811452119040.

The previous prime is 2141332102387. The next prime is 2141332102417. The reversal of 2141332102400 is 42012331412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8683220 + ... + 8926419.

Almost surely, 22141332102400 is an apocalyptic number.

2141332102400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141332102400 is an abundant number, since it is smaller than the sum of its proper divisors (3437754042400).

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

2141332102400 is a wasteful number, since it uses less digits than its factorization.

2141332102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17609684 (or 17609665 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 2141332102400 its reverse (42012331412), we get a palindrome (2183344433812).

The spelling of 2141332102400 in words is "two trillion, one hundred forty-one billion, three hundred thirty-two million, one hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 128 152 160 190 200 256 304 320 380 400 475 608 640 760 800 950 1216 1280 1520 1600 1900 2432 3040 3200 3800 4864 6080 6400 7600 12160 15200 24320 30400 60800 121600 17609639 35219278 70438556 88048195 140877112 176096390 281754224 334583141 352192780 440240975 563508448 669166282 704385560 880481950 1127016896 1338332564 1408771120 1672915705 1760963900 2254033792 2676665128 2817542240 3345831410 3521927800 4508067584 5353330256 5635084480 6691662820 7043855600 8364578525 10706660512 11270168960 13383325640 14087711200 16729157050 21413321024 22540337920 26766651280 28175422400 33458314100 42826642048 53533302560 56350844800 66916628200 85653284096 107066605120 112701689600 133833256400 214133210240 267666512800 428266420480 535333025600 1070666051200 2141332102400