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241254215101540 = 22567833795723383
BaseRepresentation
bin110110110110101101011111…
…110010101010110001100100
31011122012200022001112200210001
4312312231133302222301210
5223110202113031222130
62213034353440111044
7101550020232006034
oct6666553762526144
91148180261480701
10241254215101540
116a964379a38753
1223084824605484
13a480237246684
144380aa2aa18c4
151cd58984006ca
hexdb6b5fcaac64

241254215101540 has 96 divisors (see below), whose sum is σ = 521763831751680. Its totient is φ = 93668228793216.

The previous prime is 241254215101507. The next prime is 241254215101553. The reversal of 241254215101540 is 45101512452142.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 241254215101540.

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, 39290689 + ... + 45014071.

It is an arithmetic number, because the mean of its divisors is an integer number (5435039914080).

Almost surely, 2241254215101540 is an apocalyptic number.

241254215101540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241254215101540 is an abundant number, since it is smaller than the sum of its proper divisors (280509616650140).

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

241254215101540 is a wasteful number, since it uses less digits than its factorization.

241254215101540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5723921 (or 5723919 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 37.

Adding to 241254215101540 its reverse (45101512452142), we get a palindrome (286355727553682).

The spelling of 241254215101540 in words is "two hundred forty-one trillion, two hundred fifty-four billion, two hundred fifteen million, one hundred one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 67 83 134 166 268 332 335 379 415 670 758 830 1340 1516 1660 1895 3790 5561 7580 11122 22244 25393 27805 31457 50786 55610 62914 101572 111220 125828 126965 157285 253930 314570 507860 629140 2107619 4215238 5723383 8430476 10538095 11446766 21076190 22893532 28616915 42152380 57233830 114467660 383466661 475040789 766933322 950081578 1533866644 1900163156 1917333305 2169162157 2375203945 3834666610 4338324314 4750407890 7669333220 8676648628 9500815780 10845810785 21691621570 31827732863 43383243140 63655465726 127310931452 145333864519 159138664315 180040459031 290667729038 318277328630 360080918062 581335458076 636554657260 720161836124 726669322595 900202295155 1453338645190 1800404590310 2906677290380 3600809180620 12062710755077 24125421510154 48250843020308 60313553775385 120627107550770 241254215101540