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4442744244420 = 2232524681912469
BaseRepresentation
bin100000010100110100000…
…1100010100100011000100
3120201201111111002200001200
41000221220030110203010
51040242220011310140
613240545111422500
7635656225664406
oct100515014244304
916651444080050
104442744244420
1114631803384a9
125b904a084a30
13262c44bc44a1
1411505c33cb76
157a875260030
hex40a683148c4

4442744244420 has 36 divisors (see below), whose sum is σ = 13476324208620. Its totient is φ = 1184731798464.

The previous prime is 4442744244403. The next prime is 4442744244431. The reversal of 4442744244420 is 244424472444.

4442744244420 is a `hidden beast` number, since 44 + 42 + 74 + 42 + 44 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2827018527876 + 1615725716544 = 1681374^2 + 1271112^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×44427442444202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12340956055 + ... + 12340956414.

Almost surely, 24442744244420 is an apocalyptic number.

It is an amenable number.

4442744244420 is an abundant number, since it is smaller than the sum of its proper divisors (9033579964200).

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

4442744244420 is a wasteful number, since it uses less digits than its factorization.

4442744244420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24681912484 (or 24681912479 counting only the distinct ones).

The product of its (nonzero) digits is 3670016, while the sum is 45.

The spelling of 4442744244420 in words is "four trillion, four hundred forty-two billion, seven hundred forty-four million, two hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 24681912469 49363824938 74045737407 98727649876 123409562345 148091474814 222137212221 246819124690 296182949628 370228687035 444274424442 493638249380 740457374070 888548848884 1110686061105 1480914748140 2221372122210 4442744244420