Search a number
-
+
1944133839684 = 223228128272
BaseRepresentation
bin11100010010100111011…
…010000010101101000100
320212212011000210212012100
4130102213122002231010
5223323041230332214
64045042303152100
7260313306656061
oct34224732025504
96785130725170
101944133839684
1168a558961763
122749525a5630
1311143c389c8a
146a14d02dc68
153588863b309
hex1c4a7682b44

1944133839684 has 81 divisors (see below), whose sum is σ = 4937860104541. Its totient is φ = 644957584320.

The previous prime is 1944133839677. The next prime is 1944133839721. The reversal of 1944133839684 is 4869383314491.

The square root of 1944133839684 is 1394322.

It is a perfect power (a square), and thus also a powerful number.

1944133839684 is a `hidden beast` number, since 1 + 9 + 441 + 33 + 83 + 9 + 6 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1313824873284 + 630308966400 = 1146222^2 + 793920^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2350826479 + ... + 2350827305.

Almost surely, 21944133839684 is an apocalyptic number.

1944133839684 is the 1394322-nd square number.

It is an amenable number.

1944133839684 is an abundant number, since it is smaller than the sum of its proper divisors (2993726264857).

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

1944133839684 is an frugal number, since it uses more digits than its factorization.

1944133839684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 1113 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 1944133839684 in words is "one trillion, nine hundred forty-four billion, one hundred thirty-three million, eight hundred thirty-nine thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 281 562 827 843 1124 1654 1686 2481 2529 3308 3372 4962 5058 7443 9924 10116 14886 29772 78961 157922 232387 236883 315844 464774 473766 683929 697161 710649 929548 947532 1367858 1394322 1421298 2051787 2091483 2735716 2788644 2842596 4103574 4182966 6155361 8207148 8365932 12310722 24621444 65300747 130601494 192184049 195902241 261202988 384368098 391804482 576552147 587706723 768736196 783608964 1153104294 1175413446 1729656441 2306208588 2350826892 3459312882 6918625764 54003717769 108007435538 162011153307 216014871076 324022306614 486033459921 648044613228 972066919842 1944133839684