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32141201420 = 225192310734369
BaseRepresentation
bin11101111011110000…
…111101000000001100
310001221222100012112102
4131323300331000030
51011311121421140
622433201254232
72215326463406
oct357360750014
9101858305472
1032141201420
11126a3963389
126290034378
133052b7a5a3
1417ac97bb76
15c81acde15
hex77bc3d00c

32141201420 has 96 divisors (see below), whose sum is σ = 74833113600. Its totient is φ = 11541049344.

The previous prime is 32141201413. The next prime is 32141201447. The reversal of 32141201420 is 2410214123.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 32141201392 and 32141201401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 917996 + ... + 952364.

It is an arithmetic number, because the mean of its divisors is an integer number (779511600).

Almost surely, 232141201420 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 32141201420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37416556800).

32141201420 is an abundant number, since it is smaller than the sum of its proper divisors (42691912180).

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

32141201420 is a wasteful number, since it uses less digits than its factorization.

32141201420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34527 (or 34525 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 32141201420 its reverse (2410214123), we get a palindrome (34551415543).

The spelling of 32141201420 in words is "thirty-two billion, one hundred forty-one million, two hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 107 115 190 214 230 380 428 437 460 535 874 1070 1748 2033 2140 2185 2461 4066 4370 4922 8132 8740 9844 10165 12305 20330 24610 34369 40660 46759 49220 68738 93518 137476 171845 187036 233795 343690 467590 653011 687380 790487 935180 1306022 1580974 2612044 3161948 3265055 3677483 3952435 6530110 7354966 7904870 13060220 14709932 15019253 15809740 18387415 30038506 36774830 60077012 69872177 73549660 75096265 84582109 139744354 150192530 169164218 279488708 300385060 338328436 349360885 422910545 698721770 845821090 1397443540 1607060071 1691642180 3214120142 6428240284 8035300355 16070600710 32141201420