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14681925440 = 265713504187
BaseRepresentation
bin11011010110001110…
…00110011101000000
31101220012122002102022
431223013012131000
5220032033103230
610424512341012
71026555210230
oct155307063500
941805562368
1014681925440
116254622986
122a18b44768
1314cc990360
149d3ca7cc0
155ade351e5
hex36b1c6740

14681925440 has 112 divisors (see below), whose sum is σ = 43029420672. Its totient is φ = 4646578176.

The previous prime is 14681925437. The next prime is 14681925449. The reversal of 14681925440 is 4452918641.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 14681925391 and 14681925400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14681925449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222974 + ... + 281213.

It is an arithmetic number, because the mean of its divisors is an integer number (384191256).

Almost surely, 214681925440 is an apocalyptic number.

14681925440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14681925440 is an abundant number, since it is smaller than the sum of its proper divisors (28347495232).

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

14681925440 is a wasteful number, since it uses less digits than its factorization.

14681925440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504224 (or 504214 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 14681925440 in words is "fourteen billion, six hundred eighty-one million, nine hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 728 832 910 1040 1120 1456 1820 2080 2240 2912 3640 4160 5824 7280 14560 29120 504187 1008374 2016748 2520935 3529309 4033496 5041870 6554431 7058618 8066992 10083740 13108862 14117236 16133984 17646545 20167480 26217724 28234472 32267968 32772155 35293090 40334960 45881017 52435448 56468944 65544310 70586180 80669920 91762034 104870896 112937888 131088620 141172360 161339840 183524068 209741792 225875776 229405085 262177240 282344720 367048136 419483584 458810170 524354480 564689440 734096272 917620340 1048708960 1129378880 1468192544 1835240680 2097417920 2936385088 3670481360 7340962720 14681925440