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13940621184 = 273714934807
BaseRepresentation
bin11001111101110110…
…01111111110000000
31022222112201221011010
430332323033332000
5212022244334214
610223151520520
71002314216310
oct147673177600
938875657133
1013940621184
115a04132036
122850829140
13141221b899
1496365b440
15568d04659
hex33eecff80

13940621184 has 128 divisors (see below), whose sum is σ = 42604992000. Its totient is φ = 3956189184.

The previous prime is 13940621159. The next prime is 13940621209. The reversal of 13940621184 is 48112604931.

It is an interprime number because it is at equal distance from previous prime (13940621159) and next prime (13940621209).

It is a tau number, because it is divible by the number of its divisors (128).

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, 383109 + ... + 417915.

It is an arithmetic number, because the mean of its divisors is an integer number (332851500).

Almost surely, 213940621184 is an apocalyptic number.

13940621184 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 13940621184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21302496000).

13940621184 is an abundant number, since it is smaller than the sum of its proper divisors (28664370816).

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

13940621184 is a wasteful number, since it uses less digits than its factorization.

13940621184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34980 (or 34968 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 13940621184 in words is "thirteen billion, nine hundred forty million, six hundred twenty-one thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 149 168 192 224 298 336 384 447 448 596 672 894 896 1043 1192 1344 1788 2086 2384 2688 3129 3576 4172 4768 6258 7152 8344 9536 12516 14304 16688 19072 25032 28608 33376 34807 50064 57216 66752 69614 100128 104421 133504 139228 200256 208842 243649 278456 400512 417684 487298 556912 730947 835368 974596 1113824 1461894 1670736 1949192 2227648 2923788 3341472 3898384 4455296 5186243 5847576 6682944 7796768 10372486 11695152 13365888 15558729 15593536 20744972 23390304 31117458 31187072 36303701 41489944 46780608 62234916 72607402 82979888 93561216 108911103 124469832 145214804 165959776 217822206 248939664 290429608 331919552 435644412 497879328 580859216 663839104 871288824 995758656 1161718432 1742577648 1991517312 2323436864 3485155296 4646873728 6970310592 13940621184