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204144203442033 = 33194322957770039
BaseRepresentation
bin101110011010101100000110…
…101110101010011101110001
3222202210222212112112121201000
4232122230012232222131301
5203224144312040121113
62002102315151432213
760666634445335161
oct5632540656523561
9882728775477630
10204144203442033
115a0570858a6298
121aa90620825669
1389ba93c75bbba
14385a8bc9425a1
1518903d4cca373
hexb9ab06baa771

204144203442033 has 128 divisors (see below), whose sum is σ = 327751339520000. Its totient is φ = 125165709914112.

The previous prime is 204144203442001. The next prime is 204144203442139. The reversal of 204144203442033 is 330244302441402.

204144203442033 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 4 + 4 + 203 + 442 + 0 + 3 + 3 = 666.

It is not a de Polignac number, because 204144203442033 - 25 = 204144203442001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (204144203442733) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2914686828 + ... + 2914756866.

It is an arithmetic number, because the mean of its divisors is an integer number (2560557340000).

Almost surely, 2204144203442033 is an apocalyptic number.

It is an amenable number.

204144203442033 is a deficient number, since it is larger than the sum of its proper divisors (123607136077967).

204144203442033 is a wasteful number, since it uses less digits than its factorization.

204144203442033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70916 (or 70910 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 204144203442033 its reverse (330244302441402), we get a palindrome (534388505883435).

The spelling of 204144203442033 in words is "two hundred four trillion, one hundred forty-four billion, two hundred three million, four hundred forty-two thousand, thirty-three".

Divisors: 1 3 9 19 27 43 57 129 171 229 387 513 577 687 817 1161 1731 2061 2451 4351 5193 6183 7353 9847 10963 13053 15579 22059 24811 29541 32889 39159 70039 74433 88623 98667 117477 132133 187093 210117 223299 265869 296001 396399 471409 561279 630351 669897 1189197 1330741 1414227 1683837 1891053 2510527 3011677 3567591 3992223 4242681 5051511 5681719 7531581 9035031 11976669 12728043 16038931 17045157 22594743 27105093 35930007 40412503 48116793 51135471 57221863 67784229 81315279 107952661 121237509 144350379 153406413 171665589 304739689 323857983 363712527 433051137 514996767 689674033 767837557 914219067 971573949 1091137581 1544990301 1737737629 2069022099 2303512671 2742657201 2914721847 5213212887 6207066297 6910538013 8227971603 9254463187 13103806627 15639638661 18621198891 20731614039 27763389561 33017014951 39311419881 46918915983 83290168683 99051044853 117934259643 175834800553 249870506049 297153134559 353802778929 397941917041 527504401659 891459403677 1193825751123 1582513204977 3581477253369 4747539614931 7560896423779 10744431760107 22682689271337 68048067814011 204144203442033