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14012014040 = 2351741895647
BaseRepresentation
bin11010000110010111…
…00101110111011000
31100011112002001201222
431003023211313120
5212144033422130
610234222031212
71004142103613
oct150313456730
940145061658
1014012014040
115a404645a2
122870718508
131423c5738b
1496cd2317a
15570207ce5
hex3432e5dd8

14012014040 has 128 divisors (see below), whose sum is σ = 34586092800. Its totient is φ = 5087723520.

The previous prime is 14012014039. The next prime is 14012014067. The reversal of 14012014040 is 4041021041.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 2478497 + ... + 2484143.

It is an arithmetic number, because the mean of its divisors is an integer number (270203850).

Almost surely, 214012014040 is an apocalyptic number.

14012014040 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 14012014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17293046400).

14012014040 is an abundant number, since it is smaller than the sum of its proper divisors (20574078760).

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

14012014040 is a wasteful number, since it uses less digits than its factorization.

14012014040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5805 (or 5801 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 14012014040 its reverse (4041021041), we get a palindrome (18053035081).

The spelling of 14012014040 in words is "fourteen billion, twelve million, fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 68 82 85 89 136 164 170 178 205 328 340 356 410 445 680 697 712 820 890 1394 1513 1640 1780 2788 3026 3485 3560 3649 5576 5647 6052 6970 7298 7565 11294 12104 13940 14596 15130 18245 22588 27880 28235 29192 30260 36490 45176 56470 60520 62033 72980 95999 112940 124066 145960 191998 225880 231527 248132 310165 383996 463054 479995 496264 502583 620330 767992 926108 959990 1005166 1157635 1240660 1852216 1919980 2010332 2315270 2481320 2512915 3839960 3935959 4020664 4630540 5025830 7871918 8543911 9261080 10051660 15743836 17087822 19679795 20103320 20605903 31487672 34175644 39359590 41211806 42719555 68351288 78719180 82423612 85439110 103029515 157438360 164847224 170878220 206059030 341756440 350300351 412118060 700600702 824236120 1401201404 1751501755 2802402808 3503003510 7006007020 14012014040