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13416214404264 = 2337119366939161
BaseRepresentation
bin1100001100111011010010…
…1100011001110010101000
31202111120121001022222102120
43003032310230121302220
53224302401341414024
644311153535431240
72553201204562140
oct303166454316250
952446531288376
1013416214404264
11430286a2a8aa1
12160819b085520
137641b360b3b9
143454c380b920
15183ebe7c8479
hexc33b4b19ca8

13416214404264 has 64 divisors (see below), whose sum is σ = 38364172525440. Its totient is φ = 3829990978560.

The previous prime is 13416214404259. The next prime is 13416214404269. The reversal of 13416214404264 is 46240441261431.

It is an interprime number because it is at equal distance from previous prime (13416214404259) and next prime (13416214404269).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (13416214404269) 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, 33269157 + ... + 33670004.

It is an arithmetic number, because the mean of its divisors is an integer number (599440195710).

Almost surely, 213416214404264 is an apocalyptic number.

13416214404264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13416214404264 is an abundant number, since it is smaller than the sum of its proper divisors (24947958121176).

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

13416214404264 is a wasteful number, since it uses less digits than its factorization.

13416214404264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66940370 (or 66940366 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

Adding to 13416214404264 its reverse (46240441261431), we get a palindrome (59656655665695).

The spelling of 13416214404264 in words is "thirteen trillion, four hundred sixteen billion, two hundred fourteen million, four hundred four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1193 2386 3579 4772 7158 8351 9544 14316 16702 25053 28632 33404 50106 66808 100212 200424 66939161 133878322 200817483 267756644 401634966 468574127 535513288 803269932 937148254 1405722381 1606539864 1874296508 2811444762 3748593016 5622889524 11245779048 79858419073 159716838146 239575257219 319433676292 479150514438 559008933511 638867352584 958301028876 1118017867022 1677026800533 1916602057752 2236035734044 3354053601066 4472071468088 6708107202132 13416214404264