Search a number
-
+
14439324173560 = 23511133181430883
BaseRepresentation
bin1101001000011110101011…
…0010011100010011111000
31220010101102022212022122221
43102013222302130103320
53343033213442023220
650413200044453424
73020130625251646
oct322075262342370
956111368768587
1014439324173560
114667757077680
12175253054a274
1380981261a430
1437cc1d158196
151a08eecd39aa
hexd21eac9c4f8

14439324173560 has 128 divisors (see below), whose sum is σ = 39399518914560. Its totient is φ = 4690418803200.

The previous prime is 14439324173507. The next prime is 14439324173609. The reversal of 14439324173560 is 6537142393441.

14439324173560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 14439324173498 and 14439324173507.

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, 40538122 + ... + 40892761.

It is an arithmetic number, because the mean of its divisors is an integer number (307808741520).

Almost surely, 214439324173560 is an apocalyptic number.

14439324173560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14439324173560 is an abundant number, since it is smaller than the sum of its proper divisors (24960194741000).

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

14439324173560 is a wasteful number, since it uses less digits than its factorization.

14439324173560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81430949 (or 81430945 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 52.

The spelling of 14439324173560 in words is "fourteen trillion, four hundred thirty-nine billion, three hundred twenty-four million, one hundred seventy-three thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 31 40 44 52 55 62 65 88 104 110 124 130 143 155 220 248 260 286 310 341 403 440 520 572 620 682 715 806 1144 1240 1364 1430 1612 1705 2015 2728 2860 3224 3410 4030 4433 5720 6820 8060 8866 13640 16120 17732 22165 35464 44330 88660 177320 81430883 162861766 325723532 407154415 651447064 814308830 895739713 1058601479 1628617660 1791479426 2117202958 2524357373 3257235320 3582958852 4234405916 4478698565 5048714746 5293007395 7165917704 8468811832 8957397130 10097429492 10586014790 11644616269 12621786865 17914794260 20194858984 21172029580 23289232538 25243573730 27767931103 32816645849 35829588520 42344059160 46578465076 50487147460 55535862206 58223081345 65633291698 93156930152 100974294920 111071724412 116446162690 131266583396 138839655515 164083229245 222143448824 232892325380 262533166792 277679311030 328166458490 360983104339 465784650760 555358622060 656332916980 721966208678 1110717244120 1312665833960 1443932417356 1804915521695 2887864834712 3609831043390 7219662086780 14439324173560