Search a number
-
+
2044044949401 = 327213252372
BaseRepresentation
bin11101101111101010100…
…100101011011110011001
321020102001000012002220100
4131233222210223132121
5231442201001340101
64203004333050013
7300451224253200
oct35575244533631
97212030162810
102044044949401
117189690a4214
12290196626909
1311a9a2645900
1470d0a352237
1538284b67e86
hex1dbea92b799

2044044949401 has 81 divisors (see below), whose sum is σ = 3719781083421. Its totient is φ = 1077971678784.

The previous prime is 2044044949343. The next prime is 2044044949411. The reversal of 2044044949401 is 1049494404402.

It is a happy number.

The square root of 2044044949401 is 1429701.

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

It can be written as a sum of positive squares in 4 ways, for example, as 60047001 + 2043984902400 = 7749^2 + 1429680^2 .

It is not a de Polignac number, because 2044044949401 - 211 = 2044044947353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2044044949411) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 390305755 + ... + 390310991.

Almost surely, 22044044949401 is an apocalyptic number.

2044044949401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2044044949401 is the 1429701-st square number.

2044044949401 is the 714851-st centered octagonal number.

It is an amenable number.

2044044949401 is a deficient number, since it is larger than the sum of its proper divisors (1675736134020).

2044044949401 is an frugal number, since it uses more digits than its factorization.

2044044949401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10520 (or 5260 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 2044044949401 in words is "two trillion, forty-four billion, forty-four million, nine hundred forty-nine thousand, four hundred one".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 169 273 441 507 637 819 1183 1521 1911 3549 5237 5733 8281 10647 15711 24843 36659 47133 68081 74529 109977 204243 256613 329931 476567 612729 769839 885053 1429701 2309517 2655159 3335969 4289103 6195371 7965477 10007907 18586113 27426169 30023721 43367597 55758339 82278507 130102791 191983183 246835521 356540197 390308373 575949549 1069620591 1343882281 1727848647 2495781379 3208861773 4031646843 4635022561 7487344137 12094940529 13905067683 17470469653 22462032411 32445157927 41715203049 52411408959 97335473781 157234226877 227116105489 292006421343 681348316467 2044044949401