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44303422430344 = 23711292480039321
BaseRepresentation
bin10100001001011001100011…
…10000011001110010001000
312210212100212200110012211011
422010230301300121302020
521301331402120232334
6234120413350013304
712221550052130320
oct1204546160316210
9183770780405734
1044303422430344
1113130a80a79570
124b76372647234
131b94a4426c2bc
14ad24232c6280
1551c678a6e564
hex284b31c19c88

44303422430344 has 64 divisors (see below), whose sum is σ = 107137698710400. Its totient is φ = 16665864230400.

The previous prime is 44303422430327. The next prime is 44303422430353.

44303422430344 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×443034224303444 (a number of 56 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44303422430297 and 44303422430306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1240001797 + ... + 1240037524.

It is an arithmetic number, because the mean of its divisors is an integer number (1674026542350).

Almost surely, 244303422430344 is an apocalyptic number.

44303422430344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44303422430344 is an abundant number, since it is smaller than the sum of its proper divisors (62834276280056).

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

44303422430344 is a wasteful number, since it uses less digits than its factorization.

44303422430344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480039374 (or 2480039370 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 40.

It can be divided in two parts, 4430342 and 2430344, that added together give a palindrome (6860686).

The spelling of 44303422430344 in words is "forty-four trillion, three hundred three billion, four hundred twenty-two million, four hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 29 44 56 58 77 88 116 154 203 232 308 319 406 616 638 812 1276 1624 2233 2552 4466 8932 17864 2480039321 4960078642 9920157284 17360275247 19840314568 27280432531 34720550494 54560865062 69441100988 71921140309 109121730124 138882201976 143842280618 190963027717 218243460248 287684561236 381926055434 503447982163 575369122472 763852110868 791132543399 1006895964326 1527704221736 1582265086798 2013791928652 3164530173596 4027583857304 5537927803793 6329060347192 11075855607586 22151711215172 44303422430344