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14001441012240 = 24351123230590267
BaseRepresentation
bin1100101110111111011011…
…1010101111101000010000
31211120112011111102221221020
43023233312322233220100
53313344422344342430
645440101224555440
72643366521635323
oct313576672575020
954515144387836
1014001441012240
114508a834864a0
1216a16a6322b80
137a743a661c06
1436595d9b87ba
15194322694b10
hexcbbf6eafa10

14001441012240 has 160 divisors (see below), whose sum is σ = 49409037904896. Its totient is φ = 3246710945280.

The previous prime is 14001441012239. The next prime is 14001441012241. The reversal of 14001441012240 is 4221014410041.

It is an interprime number because it is at equal distance from previous prime (14001441012239) and next prime (14001441012241).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14001441012240.

It is not an unprimeable number, because it can be changed into a prime (14001441012241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115234414 + ... + 115355853.

Almost surely, 214001441012240 is an apocalyptic number.

14001441012240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14001441012240 is an abundant number, since it is smaller than the sum of its proper divisors (35407596892656).

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

14001441012240 is a wasteful number, since it uses less digits than its factorization.

14001441012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230590317 (or 230590311 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 14001441012240 its reverse (4221014410041), we get a palindrome (18222455422281).

The spelling of 14001441012240 in words is "fourteen trillion, one billion, four hundred forty-one million, twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 30 33 40 44 46 48 55 60 66 69 80 88 92 110 115 120 132 138 165 176 184 220 230 240 253 264 276 330 345 368 440 460 506 528 552 660 690 759 880 920 1012 1104 1265 1320 1380 1518 1840 2024 2530 2640 2760 3036 3795 4048 5060 5520 6072 7590 10120 12144 15180 20240 30360 60720 230590267 461180534 691770801 922361068 1152951335 1383541602 1844722136 2305902670 2536492937 2767083204 3458854005 3689444272 4611805340 5072985874 5303576141 5534166408 6917708010 7609478811 9223610680 10145971748 10607152282 11068332816 12682464685 13835416020 15218957622 15910728423 18447221360 20291943496 21214304564 25364929370 26517880705 27670832040 30437915244 31821456846 38047394055 40583886992 42428609128 50729858740 53035761410 55341664080 58339337551 60875830488 63642913692 76094788110 79553642115 84857218256 101459717480 106071522820 116678675102 121751660976 127285827384 152189576220 159107284230 175018012653 202919434960 212143045640 233357350204 254571654768 291696687755 304379152440 318214568460 350036025306 424286091280 466714700408 583393375510 608758304880 636429136920 700072050612 875090063265 933429400816 1166786751020 1272858273840 1400144101224 1750180126530 2333573502040 2800288202448 3500360253060 4667147004080 7000720506120 14001441012240