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4201201414188 = 2232116700039283
BaseRepresentation
bin111101001000101011000…
…111100011000000101100
3112212122000221122112212100
4331020223013203000230
51022313030030223223
612534001050335100
7612345454545312
oct75105307430054
915778027575770
104201201414188
11137a7a0745059
1257a279a2a490
1324622ccb597c
141074a6bdc0b2
1574439b49043
hex3d22b1e302c

4201201414188 has 18 divisors (see below), whose sum is σ = 10619703574844. Its totient is φ = 1400400471384.

The previous prime is 4201201414187. The next prime is 4201201414301. The reversal of 4201201414188 is 8814141021024.

It is a happy number.

4201201414188 is a `hidden beast` number, since 4 + 20 + 1 + 201 + 414 + 18 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×42012014141882 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 116700039283 = 4201201414188 / (4 + 2 + 0 + 1 + 2 + 0 + 1 + 4 + 1 + 4 + 1 + 8 + 8).

It is not an unprimeable number, because it can be changed into a prime (4201201414187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58350019606 + ... + 58350019677.

Almost surely, 24201201414188 is an apocalyptic number.

It is an amenable number.

4201201414188 is an abundant number, since it is smaller than the sum of its proper divisors (6418502160656).

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

4201201414188 is a wasteful number, since it uses less digits than its factorization.

4201201414188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116700039293 (or 116700039288 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 4201201414188 in words is "four trillion, two hundred one billion, two hundred one million, four hundred fourteen thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 116700039283 233400078566 350100117849 466800157132 700200235698 1050300353547 1400400471396 2100600707094 4201201414188