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14004877040 = 24571110322073
BaseRepresentation
bin11010000101100000…
…10111011011110000
31100011000122110121122
431002300113123300
5212140222031130
610233405041412
71004024330210
oct150260273360
940130573548
1014004877040
115a3742a450
12286a256268
1314226289bb
1496bdc6240
1556e7982e5
hex342c176f0

14004877040 has 160 divisors (see below), whose sum is σ = 40991947776. Its totient is φ = 4322580480.

The previous prime is 14004877027. The next prime is 14004877057. The reversal of 14004877040 is 4077840041.

It is a super-2 number, since 2×140048770402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

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, 623444 + ... + 645516.

Almost surely, 214004877040 is an apocalyptic number.

14004877040 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 14004877040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20495973888).

14004877040 is an abundant number, since it is smaller than the sum of its proper divisors (26987070736).

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

14004877040 is a wasteful number, since it uses less digits than its factorization.

14004877040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22207 (or 22201 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 35.

The spelling of 14004877040 in words is "fourteen billion, four million, eight hundred seventy-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 103 110 112 140 154 176 206 220 280 308 385 412 440 515 560 616 721 770 824 880 1030 1133 1232 1442 1540 1648 2060 2266 2884 3080 3605 4120 4532 5665 5768 6160 7210 7931 8240 9064 11330 11536 14420 15862 18128 22073 22660 28840 31724 39655 44146 45320 57680 63448 79310 88292 90640 110365 126896 154511 158620 176584 220730 242803 309022 317240 353168 441460 485606 618044 634480 772555 882920 971212 1214015 1236088 1545110 1699621 1765840 1942424 2273519 2428030 2472176 3090220 3399242 3884848 4547038 4856060 6180440 6798484 8498105 9094076 9712120 11367595 12360880 13596968 15914633 16996210 18188152 19424240 22735190 25008709 27193936 31829266 33992420 36376304 45470380 50017418 63658532 67984840 79573165 90940760 100034836 125043545 127317064 135969680 159146330 175060963 181881520 200069672 250087090 254634128 318292660 350121926 400139344 500174180 636585320 700243852 875304815 1000348360 1273170640 1400487704 1750609630 2000696720 2800975408 3501219260 7002438520 14004877040