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14944202299260 = 22325132491262403
BaseRepresentation
bin1101100101110111011111…
…0111101001011101111100
31221220122121011010111100200
43121131313313221131330
53424321211242034020
651441134411123500
73101453156440203
oct331356767513574
957818534114320
1014944202299260
114841889670113
121814353143590
13845303294a00
1439943619623a
151adaedce7590
hexd9777de977c

14944202299260 has 108 divisors (see below), whose sum is σ = 49085956882872. Its totient is φ = 3678572866176.

The previous prime is 14944202299259. The next prime is 14944202299283. The reversal of 14944202299260 is 6299220244941.

14944202299260 is a `hidden beast` number, since 1 + 4 + 94 + 4 + 2 + 0 + 2 + 299 + 260 = 666.

It is a super-2 number, since 2×149442022992602 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14944202299197 and 14944202299206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 245600782 + ... + 245661621.

Almost surely, 214944202299260 is an apocalyptic number.

14944202299260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14944202299260 is an abundant number, since it is smaller than the sum of its proper divisors (34141754583612).

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

14944202299260 is a wasteful number, since it uses less digits than its factorization.

14944202299260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491262444 (or 491262426 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 14944202299260 in words is "fourteen trillion, nine hundred forty-four billion, two hundred two million, two hundred ninety-nine thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 169 180 195 234 260 338 390 468 507 585 676 780 845 1014 1170 1521 1690 2028 2340 2535 3042 3380 5070 6084 7605 10140 15210 30420 491262403 982524806 1473787209 1965049612 2456312015 2947574418 4421361627 4912624030 5895148836 6386411239 7368936045 8842723254 9825248060 12772822478 14737872090 17685446508 19159233717 22106808135 25545644956 29475744180 31932056195 38318467434 44213616270 57477701151 63864112390 76636934868 83023346107 88427232540 95796168585 114955402302 127728224780 166046692214 191592337170 229910804604 249070038321 287388505755 332093384428 383184674340 415116730535 498140076642 574777011510 747210114963 830233461070 996280153284 1149554023020 1245350191605 1494420229926 1660466922140 2490700383210 2988840459852 3736050574815 4981400766420 7472101149630 14944202299260