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14945978280 = 23351079411237
BaseRepresentation
bin11011110101101100…
…11000011110101000
31102120121111100211010
431322312120132220
5221102132301110
610511024103520
71036242501462
oct157266303650
942517440733
1014945978280
11637a684772
122a91464ba0
1315425b323c
14a1ada1132
155c71e3020
hex37ad987a8

14945978280 has 128 divisors (see below), whose sum is σ = 45341700480. Its totient is φ = 3940961280.

The previous prime is 14945978273. The next prime is 14945978297. The reversal of 14945978280 is 8287954941.

It is a self number, because there is not a number n which added to its sum of digits gives 14945978280.

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 31 ways as a sum of consecutive naturals, for example, 12081822 + ... + 12083058.

It is an arithmetic number, because the mean of its divisors is an integer number (354232035).

Almost surely, 214945978280 is an apocalyptic number.

14945978280 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 14945978280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22670850240).

14945978280 is an abundant number, since it is smaller than the sum of its proper divisors (30395722200).

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

14945978280 is a wasteful number, since it uses less digits than its factorization.

14945978280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 14945978280 in words is "fourteen billion, nine hundred forty-five million, nine hundred seventy-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 941 1070 1237 1284 1605 1882 2140 2474 2568 2823 3210 3711 3764 4280 4705 4948 5646 6185 6420 7422 7528 9410 9896 11292 12370 12840 14115 14844 18555 18820 22584 24740 28230 29688 37110 37640 49480 56460 74220 100687 112920 132359 148440 201374 264718 302061 397077 402748 503435 529436 604122 661795 794154 805496 1006870 1058872 1164017 1208244 1323590 1510305 1588308 1985385 2013740 2328034 2416488 2647180 3020610 3176616 3492051 3970770 4027480 4656068 5294360 5820085 6041220 6984102 7941540 9312136 11640170 12082440 13968204 15883080 17460255 23280340 27936408 34920510 46560680 69841020 124549819 139682040 249099638 373649457 498199276 622749095 747298914 996398552 1245498190 1494597828 1868247285 2490996380 2989195656 3736494570 4981992760 7472989140 14945978280