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241164745440 = 2535502426553
BaseRepresentation
bin1110000010011010001…
…0011111101011100000
3212001111012000102100220
43200212202133223200
512422401133323230
6302442313243040
723265200341053
oct3404642375340
9761435012326
10241164745440
1193306236783
123a8a5703480
13199847a1308
14b95b242a9a
156417330d10
hex382689fae0

241164745440 has 48 divisors (see below), whose sum is σ = 759668949648. Its totient is φ = 64310598656.

The previous prime is 241164745397. The next prime is 241164745513. The reversal of 241164745440 is 44547461142.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 241164745392 and 241164745401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251212797 + ... + 251213756.

It is an arithmetic number, because the mean of its divisors is an integer number (15826436451).

Almost surely, 2241164745440 is an apocalyptic number.

241164745440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241164745440 is an abundant number, since it is smaller than the sum of its proper divisors (518504204208).

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

241164745440 is a wasteful number, since it uses less digits than its factorization.

241164745440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502426571 (or 502426563 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 241164745440 in words is "two hundred forty-one billion, one hundred sixty-four million, seven hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 502426553 1004853106 1507279659 2009706212 2512132765 3014559318 4019412424 5024265530 6029118636 7536398295 8038824848 10048531060 12058237272 15072796590 16077649696 20097062120 24116474544 30145593180 40194124240 48232949088 60291186360 80388248480 120582372720 241164745440