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14045987196 = 22331935319391
BaseRepresentation
bin11010001010011010…
…01100000101111100
31100020220000002011000
431011031030011330
5212231233042241
610241434130300
71005033630663
oct150515140574
940226002130
1014045987196
115a5865908a
12287bb80990
13142acc0937
14973647dda
155731b8eb6
hex34534c17c

14045987196 has 96 divisors (see below), whose sum is σ = 38442700800. Its totient is φ = 4422781440.

The previous prime is 14045987149. The next prime is 14045987243. The reversal of 14045987196 is 69178954041.

14045987196 is a `hidden beast` number, since 1 + 40 + 4 + 598 + 7 + 1 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (14045987149) and next prime (14045987243).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 714661 + ... + 734051.

It is an arithmetic number, because the mean of its divisors is an integer number (400444800).

Almost surely, 214045987196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14045987196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19221350400).

14045987196 is an abundant number, since it is smaller than the sum of its proper divisors (24396713604).

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

14045987196 is a wasteful number, since it uses less digits than its factorization.

14045987196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19776 (or 19768 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 14045987196 in words is "fourteen billion, forty-five million, nine hundred eighty-seven thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 353 513 684 706 1026 1059 1412 2052 2118 3177 4236 6354 6707 9531 12708 13414 19062 19391 20121 26828 38124 38782 40242 58173 60363 77564 80484 116346 120726 174519 181089 232692 241452 349038 362178 368429 523557 698076 724356 736858 1047114 1105287 1473716 2094228 2210574 3315861 4421148 6631722 6845023 9947583 13263444 13690046 19895166 20535069 27380092 39790332 41070138 61605207 82140276 123210414 130055437 184815621 246420828 260110874 369631242 390166311 520221748 739262484 780332622 1170498933 1560665244 2340997866 3511496799 4681995732 7022993598 14045987196