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201232413424 = 2474371588509
BaseRepresentation
bin1011101101101001100…
…0101111001011110000
3201020102020021202220001
42323122120233023300
511244110444212144
6232240032555344
720352504202030
oct2733230571360
9636366252801
10201232413424
11783844a6699
12330003b2b54
1315c8c751ca3
149a4da4b8c0
15537b763bd4
hex2eda62f2f0

201232413424 has 80 divisors (see below), whose sum is σ = 462371120640. Its totient is φ = 83050248960.

The previous prime is 201232413409. The next prime is 201232413439. The reversal of 201232413424 is 424314232102.

It is an interprime number because it is at equal distance from previous prime (201232413409) and next prime (201232413439).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 201232413392 and 201232413401.

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, 47682 + ... + 636190.

It is an arithmetic number, because the mean of its divisors is an integer number (5779639008).

Almost surely, 2201232413424 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 201232413424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231185560320).

201232413424 is an abundant number, since it is smaller than the sum of its proper divisors (261138707216).

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

201232413424 is a wasteful number, since it uses less digits than its factorization.

201232413424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588638 (or 588632 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 201232413424 its reverse (424314232102), we get a palindrome (625546645526).

It can be divided in two parts, 201232 and 413424, that added together give a 4-th power (614656 = 284).

The spelling of 201232413424 in words is "two hundred one billion, two hundred thirty-two million, four hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 43 56 71 86 112 142 172 284 301 344 497 568 602 688 994 1136 1204 1988 2408 3053 3976 4816 6106 7952 12212 21371 24424 42742 48848 85484 170968 341936 588509 1177018 2354036 4119563 4708072 8239126 9416144 16478252 25305887 32956504 41784139 50611774 65913008 83568278 101223548 167136556 177141209 202447096 292488973 334273112 354282418 404894192 584977946 668546224 708564836 1169955892 1417129672 1796717977 2339911784 2834259344 3593435954 4679823568 7186871908 12577025839 14373743816 25154051678 28747487632 50308103356 100616206712 201232413424