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13302342420224 = 2811131627223339
BaseRepresentation
bin1100000110010011000101…
…1001010000011100000000
31202002200200010002211111012
43001210301121100130000
53220421144124421344
644143002311540052
72542030305643364
oct301446131203400
952080603084435
1013302342420224
114269545560a80
1215aa0bb68a628
13756536b924a0
1433dba02b92a4
151810577e629e
hexc1931650700

13302342420224 has 144 divisors (see below), whose sum is σ = 31214119896960. Its totient is φ = 5577946951680.

The previous prime is 13302342420179. The next prime is 13302342420239. The reversal of 13302342420224 is 42202424320331.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 59449547 + ... + 59672885.

Almost surely, 213302342420224 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 13302342420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15607059948480).

13302342420224 is an abundant number, since it is smaller than the sum of its proper divisors (17911777476736).

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

13302342420224 is a wasteful number, since it uses less digits than its factorization.

13302342420224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225006 (or 224992 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 13302342420224 its reverse (42202424320331), we get a palindrome (55504766740555).

The spelling of 13302342420224 in words is "thirteen trillion, three hundred two billion, three hundred forty-two million, four hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 572 704 832 1144 1408 1627 1664 2288 2816 3254 3328 4576 6508 9152 13016 17897 18304 21151 26032 35794 36608 42302 52064 71588 84604 104128 143176 169208 208256 223339 232661 286352 338416 416512 446678 465322 572704 676832 893356 930644 1145408 1353664 1786712 1861288 2290816 2456729 2707328 2903407 3573424 3722576 4581632 4913458 5414656 5806814 7146848 7445152 9826916 11613628 14293696 14890304 19653832 23227256 28587392 29780608 31937477 39307664 46454512 57174784 59561216 63874954 78615328 92909024 127749908 157230656 185818048 255499816 314461312 363372553 371636096 510999632 628922624 726745106 743272192 1021999264 1453490212 2043998528 2906980424 3997098083 4087997056 4723843189 5813960848 7994196166 8175994112 9447686378 11627921696 15988392332 18895372756 23255843392 31976784664 37790745512 46511686784 51962275079 63953569328 75581491024 93023373568 103924550158 127907138656 151162982048 207849100316 255814277312 302325964096 415698200632 511628554624 604651928192 831396401264 1023257109248 1209303856384 1662792802528 3325585605056 6651171210112 13302342420224