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13440077011120 = 2451797145969829
BaseRepresentation
bin1100001110010100001100…
…0001000001100010110000
31202120212012002001000011111
43003211003001001202300
53230200234203323440
644330141450123104
72555004431440414
oct303450301014260
952525162030144
1013440077011120
1143119a50aa791
12161093a720494
13766517300b06
14346708ac0d44
151849196ca4ea
hexc39430418b0

13440077011120 has 160 divisors (see below), whose sum is σ = 33450793387200. Its totient is φ = 5004126978048.

The previous prime is 13440077011079. The next prime is 13440077011147. The reversal of 13440077011120 is 2111077004431.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192436366 + ... + 192506194.

It is an arithmetic number, because the mean of its divisors is an integer number (209067458670).

Almost surely, 213440077011120 is an apocalyptic number.

13440077011120 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 13440077011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16725396693600).

13440077011120 is an abundant number, since it is smaller than the sum of its proper divisors (20010716376080).

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

13440077011120 is a wasteful number, since it uses less digits than its factorization.

13440077011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71415 (or 71409 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The spelling of 13440077011120 in words is "thirteen trillion, four hundred forty billion, seventy-seven million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 97 136 170 194 272 340 388 485 680 776 970 1360 1459 1552 1649 1940 2918 3298 3880 5836 6596 7295 7760 8245 11672 13192 14590 16490 23344 24803 26384 29180 32980 49606 58360 65960 69829 99212 116720 124015 131920 139658 141523 198424 248030 279316 283046 349145 396848 496060 558632 566092 698290 707615 992120 1117264 1132184 1187093 1396580 1415230 1984240 2264368 2374186 2405891 2793160 2830460 4748372 4811782 5586320 5660920 5935465 6773413 9496744 9623564 11321840 11870930 12029455 13546826 18993488 19247128 23741860 24058910 27093652 33867065 38494256 47483720 48117820 54187304 67734130 94967440 96235640 101880511 108374608 115148021 135468260 192471280 203761022 230296042 270936520 407522044 460592084 509402555 541873040 575740105 815044088 921184168 1018805110 1151480210 1630088176 1731968687 1842368336 2037610220 2302960420 3463937374 4075220440 4605920840 6927874748 8150440880 8659843435 9211841680 9882409567 13855749496 17319686870 19764819134 27711498992 34639373740 39529638268 49412047835 69278747480 79059276536 98824095670 138557494960 158118553072 168000962639 197648191340 336001925278 395296382680 672003850556 790592765360 840004813195 1344007701112 1680009626390 2688015402224 3360019252780 6720038505560 13440077011120