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1146317542384 = 247103491920201
BaseRepresentation
bin10000101011100101110…
…110011001001111110000
311001120211211200201011111
4100223211312121033300
5122240124242324014
62234335551123104
7145550550225160
oct20534566311760
94046754621144
101146317542384
11402172406143
121661b7513494
1384135956ca1
143d6a6b025a0
151ec41de72c4
hex10ae5d993f0

1146317542384 has 80 divisors (see below), whose sum is σ = 2563565921280. Its totient is φ = 486386265600.

The previous prime is 1146317542291. The next prime is 1146317542423. The reversal of 1146317542384 is 4832457136411.

It is a congruent number.

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, 56735484 + ... + 56755684.

It is an arithmetic number, because the mean of its divisors is an integer number (32044574016).

Almost surely, 21146317542384 is an apocalyptic number.

1146317542384 is a gapful number since it is divisible by the number (14) 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 1146317542384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281782960640).

1146317542384 is an abundant number, since it is smaller than the sum of its proper divisors (1417248378896).

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

1146317542384 is a wasteful number, since it uses less digits than its factorization.

1146317542384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25238 (or 25232 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 49.

The spelling of 1146317542384 in words is "one trillion, one hundred forty-six billion, three hundred seventeen million, five hundred forty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 56 103 112 206 412 721 824 1442 1648 2884 4919 5768 9838 11536 19676 20201 34433 39352 40402 68866 78704 80804 137732 141407 161608 275464 282814 323216 506657 550928 565628 1013314 1131256 2026628 2080703 2262512 3546599 4053256 4161406 7093198 8106512 8322812 14186396 14564921 16645624 28372792 29129842 33291248 56745584 58259684 99368719 116519368 198737438 233038736 397474876 695581033 794949752 1391162066 1589899504 2782324132 5564648264 10234978057 11129296528 20469956114 40939912228 71644846399 81879824456 143289692798 163759648912 286579385596 573158771192 1146317542384