Search a number
-
+
133021400100414 = 23723879132634373
BaseRepresentation
bin11110001111101101110101…
…010011001110111000111110
3122102222201111002100022011120
4132033231311103032320332
5114413410311411203124
61150525104303531410
740006323204624060
oct3617556523167076
9572881432308146
10133021400100414
1139426071550101
1212b045318b9b66
13592bb308750a7
1424bc3ad2b7730
15105a2d291cd79
hex78fb754cee3e

133021400100414 has 32 divisors (see below), whose sum is σ = 304061649707520. Its totient is φ = 38004522415392.

The previous prime is 133021400100401. The next prime is 133021400100443. The reversal of 133021400100414 is 414001004120331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65314269 + ... + 67320104.

It is an arithmetic number, because the mean of its divisors is an integer number (9501926553360).

Almost surely, 2133021400100414 is an apocalyptic number.

133021400100414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

133021400100414 is an abundant number, since it is smaller than the sum of its proper divisors (171040249607106).

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

133021400100414 is a wasteful number, since it uses less digits than its factorization.

133021400100414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132658264.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 133021400100414 its reverse (414001004120331), we get a palindrome (547022404220745).

The spelling of 133021400100414 in words is "one hundred thirty-three trillion, twenty-one billion, four hundred million, one hundred thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 23879 47758 71637 143274 167153 334306 501459 1002918 132634373 265268746 397903119 795806238 928440611 1856881222 2785321833 5570643666 3167176192867 6334352385734 9501528578601 19003057157202 22170233350069 44340466700138 66510700050207 133021400100414