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13357241481144 = 233113996741953
BaseRepresentation
bin1100001001011111100110…
…1000100011011110111000
31202021221101010101002021210
43002113321220203132320
53222321112304344034
644224122041203120
72546012616160521
oct302277150433670
952257333332253
1013357241481144
11428a857659000
1215b88811904a0
1375b7758aba12
143426cb513848
151826bc3048e9
hexc25f9a237b8

13357241481144 has 128 divisors (see below), whose sum is σ = 36734465940480. Its totient is φ = 4047146357760.

The previous prime is 13357241481113. The next prime is 13357241481161. The reversal of 13357241481144 is 44118414275331.

It is a junction number, because it is equal to n+sod(n) for n = 13357241481093 and 13357241481102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318364872 + ... + 318406824.

It is an arithmetic number, because the mean of its divisors is an integer number (286988015160).

Almost surely, 213357241481144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13357241481144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18367232970240).

13357241481144 is an abundant number, since it is smaller than the sum of its proper divisors (23377224459336).

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

13357241481144 is a wasteful number, since it uses less digits than its factorization.

13357241481144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51962 (or 51936 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The spelling of 13357241481144 in words is "thirteen trillion, three hundred fifty-seven billion, two hundred forty-one million, four hundred eighty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1331 1452 2662 2904 3993 5324 7986 9967 10648 15972 19934 29901 31944 39868 41953 59802 79736 83906 109637 119604 125859 167812 219274 239208 251718 328911 335624 438548 461483 503436 657822 877096 922966 1006872 1206007 1315644 1384449 1845932 2412014 2631288 2768898 3618021 3691864 4824028 5076313 5537796 7236042 9648056 10152626 11075592 13266077 14472084 15228939 20305252 26532154 28944168 30457878 39798231 40610504 53064308 55839443 60915756 79596462 106128616 111678886 121831512 159192924 167518329 223357772 318385848 335036658 418145551 446715544 670073316 836291102 1254436653 1340146632 1672582204 2508873306 3345164408 4599601061 5017746612 9199202122 10035493224 13798803183 18398404244 27597606366 36796808488 50595611671 55195212732 101191223342 110390425464 151786835013 202382446684 303573670026 404764893368 556551728381 607147340052 1113103456762 1214294680104 1669655185143 2226206913524 3339310370286 4452413827048 6678620740572 13357241481144