Search a number
-
+
264030103221444 = 223276911516264117
BaseRepresentation
bin111100000010001001001100…
…100000110011010011000100
31021121212000211212020101001100
4330002021030200303103010
5234101332122411041234
62333313431022300100
7106420355043525360
oct7402111440632304
91247760755211040
10264030103221444
11771455a102192a
1225742977427630
13b442c164cba61
14492b1a76d42a0
15207d067815399
hexf0224c8334c4

264030103221444 has 72 divisors (see below), whose sum is σ = 763857472309568. Its totient is φ = 75328001282880.

The previous prime is 264030103221431. The next prime is 264030103221457. The reversal of 264030103221444 is 444122301030462.

264030103221444 is a `hidden beast` number, since 2 + 6 + 403 + 0 + 1 + 0 + 32 + 214 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (264030103221431) and next prime (264030103221457).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 264030103221399 and 264030103221408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 757957927 + ... + 758306190.

Almost surely, 2264030103221444 is an apocalyptic number.

It is an amenable number.

264030103221444 is an abundant number, since it is smaller than the sum of its proper divisors (499827369088124).

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

264030103221444 is a wasteful number, since it uses less digits than its factorization.

264030103221444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516264825 (or 1516264820 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 264030103221444 in words is "two hundred sixty-four trillion, thirty billion, one hundred three million, two hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 691 1382 2073 2764 4146 4837 6219 8292 9674 12438 14511 19348 24876 29022 43533 58044 87066 174132 1516264117 3032528234 4548792351 6065056468 9097584702 10613848819 13646377053 18195169404 21227697638 27292754106 31841546457 42455395276 54585508212 63683092914 95524639371 127366185828 191049278742 382098557484 1047738504847 2095477009694 3143215514541 4190954019388 6286431029082 7334169533929 9429646543623 12572862058164 14668339067858 18859293087246 22002508601787 29336678135716 37718586174492 44005017203574 66007525805361 88010034407148 132015051610722 264030103221444