Search a number
-
+
2342148929500 = 225340912299319
BaseRepresentation
bin100010000101010010111…
…101000111011111011100
322021220111101102100022011
4202011102331013133130
5301333210111221000
64551545100001004
7331133430263662
oct42052275073734
98256441370264
102342148929500
11823333013716
12319b10b30164
1313cb2c705443
1481509744c32
1540dd0b532ba
hex22152f477dc

2342148929500 has 96 divisors (see below), whose sum is σ = 5132482992000. Its totient is φ = 933708326400.

The previous prime is 2342148929479. The next prime is 2342148929543. The reversal of 2342148929500 is 59298412432.

It is a congruent number.

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, 251325841 + ... + 251335159.

It is an arithmetic number, because the mean of its divisors is an integer number (53463364500).

Almost surely, 22342148929500 is an apocalyptic number.

2342148929500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2342148929500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566241496000).

2342148929500 is an abundant number, since it is smaller than the sum of its proper divisors (2790334062500).

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

2342148929500 is a wasteful number, since it uses less digits than its factorization.

2342148929500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10976 (or 10964 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 2342148929500 in words is "two trillion, three hundred forty-two billion, one hundred forty-eight million, nine hundred twenty-nine thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 409 500 818 1229 1636 2045 2458 4090 4916 6145 8180 9319 10225 12290 18638 20450 24580 30725 37276 40900 46595 51125 61450 93190 102250 122900 153625 186380 204500 232975 307250 465950 502661 614500 931900 1005322 1164875 2010644 2329750 2513305 3811471 4659500 5026610 7622942 10053220 11453051 12566525 15245884 19057355 22906102 25133050 38114710 45812204 50266100 57265255 62832625 76229420 95286775 114530510 125665250 190573550 229061020 251330500 286326275 381147100 476433875 572652550 952867750 1145305100 1431631375 1905735500 2863262750 4684297859 5726525500 9368595718 18737191436 23421489295 46842978590 93685957180 117107446475 234214892950 468429785900 585537232375 1171074464750 2342148929500