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13818901440 = 263524159729
BaseRepresentation
bin11001101111010101…
…11011001111000000
31022200001200221001110
430313222323033000
5211300114321230
610203123003320
7666305503251
oct146752731700
938601627043
1013818901440
115951456203
122817b09540
1313c2c41c76
14951414b28
1555d2ae4b0
hex337abb3c0

13818901440 has 112 divisors (see below), whose sum is σ = 44057803680. Its totient is φ = 3669688320.

The previous prime is 13818901427. The next prime is 13818901463. The reversal of 13818901440 is 4410981831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201496 + ... + 261224.

Almost surely, 213818901440 is an apocalyptic number.

13818901440 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 13818901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22028901840).

13818901440 is an abundant number, since it is smaller than the sum of its proper divisors (30238902240).

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

13818901440 is a wasteful number, since it uses less digits than its factorization.

13818901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59990 (or 59980 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 13818901440 in words is "thirteen billion, eight hundred eighteen million, nine hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 241 320 480 482 723 960 964 1205 1446 1928 2410 2892 3615 3856 4820 5784 7230 7712 9640 11568 14460 15424 19280 23136 28920 38560 46272 57840 59729 77120 115680 119458 179187 231360 238916 298645 358374 477832 597290 716748 895935 955664 1194580 1433496 1791870 1911328 2389160 2866992 3583740 3822656 4778320 5733984 7167480 9556640 11467968 14334960 14394689 19113280 28669920 28789378 43184067 57339840 57578756 71973445 86368134 115157512 143946890 172736268 215920335 230315024 287893780 345472536 431840670 460630048 575787560 690945072 863681340 921260096 1151575120 1381890144 1727362680 2303150240 2763780288 3454725360 4606300480 6909450720 13818901440