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1105403121440 = 255231447207589
BaseRepresentation
bin10000000101011111001…
…010010000111100100000
310220200020102222202221122
4100011133022100330200
5121102331144341230
62203452025111412
7142601630334122
oct20053712207440
93820212882848
101105403121440
11396887276112
1215a299328568
13803152cc157
143b704d03212
151db49ed5be5
hex1015f290f20

1105403121440 has 96 divisors (see below), whose sum is σ = 2726955383040. Its totient is φ = 422642525184.

The previous prime is 1105403121439. The next prime is 1105403121499. The reversal of 1105403121440 is 441213045011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5221166 + ... + 5428754.

It is an arithmetic number, because the mean of its divisors is an integer number (28405785240).

Almost surely, 21105403121440 is an apocalyptic number.

1105403121440 is a gapful number since it is divisible by the number (10) 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 1105403121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363477691520).

1105403121440 is an abundant number, since it is smaller than the sum of its proper divisors (1621552261600).

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

1105403121440 is a wasteful number, since it uses less digits than its factorization.

1105403121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209074 (or 209066 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 1105403121440 its reverse (441213045011), we get a palindrome (1546616166451).

The spelling of 1105403121440 in words is "one trillion, one hundred five billion, four hundred three million, one hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1447 1840 2894 3680 5788 7235 11576 14470 23152 28940 33281 46304 57880 66562 115760 133124 166405 207589 231520 266248 332810 415178 532496 665620 830356 1037945 1064992 1331240 1660712 2075890 2662480 3321424 4151780 4774547 5324960 6642848 8303560 9549094 16607120 19098188 23872735 33214240 38196376 47745470 76392752 95490940 152785504 190981880 300381283 381963760 600762566 763927520 1201525132 1501906415 2403050264 3003812830 4806100528 6007625660 6908769509 9612201056 12015251320 13817539018 24030502640 27635078036 34543847545 48061005280 55270156072 69087695090 110540312144 138175390180 221080624288 276350780360 552701560720 1105403121440