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422024442323004 = 223450771063124133
BaseRepresentation
bin101111111110101000011100…
…0111110001010000000111100
32001100021010212000010010120000
41133331100320332022000330
5420303422024213314004
64053323204033554300
7154615155046536243
oct13775207076120074
92040233760103500
10422024442323004
1111251961959a564
123b3bb1b7a15990
1315163970c01771
14763014061195a
1533bcc56c06c39
hex17fd438f8a03c

422024442323004 has 120 divisors (see below), whose sum is σ = 1103622086205408. Its totient is φ = 140628048497280.

The previous prime is 422024442322961. The next prime is 422024442323059. The reversal of 422024442323004 is 400323244420224.

422024442323004 is a `hidden beast` number, since 4 + 2 + 202 + 4 + 4 + 423 + 23 + 0 + 0 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 422024442323004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17487430122 + ... + 17487454254.

Almost surely, 2422024442323004 is an apocalyptic number.

It is an amenable number.

422024442323004 is an abundant number, since it is smaller than the sum of its proper divisors (681597643882404).

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

422024442323004 is a wasteful number, since it uses less digits than its factorization.

422024442323004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39857 (or 39846 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 422024442323004 its reverse (400323244420224), we get a palindrome (822347686743228).

The spelling of 422024442323004 in words is "four hundred twenty-two trillion, twenty-four billion, four hundred forty-two million, three hundred twenty-three thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 5077 10154 10631 15231 20308 21262 24133 30462 31893 42524 45693 48266 60924 63786 72399 91386 95679 96532 127572 137079 144798 182772 191358 217197 274158 287037 289596 382716 411237 434394 548316 574074 651591 822474 861111 868788 1148148 1303182 1644948 1722222 1954773 2606364 3444444 3909546 7819092 53973587 107947174 122523241 161920761 215894348 245046482 256557923 323841522 367569723 485762283 490092964 513115846 647683044 735139446 769673769 971524566 1026231692 1102709169 1457286849 1470278892 1539347538 1943049132 2205418338 2309021307 2914573698 3078695076 3308127507 4371860547 4410836676 4618042614 5829147396 6616255014 6927063921 8743721094 9236085228 9924382521 13232510028 13854127842 17487442188 19848765042 20781191763 27708255684 39697530084 41562383526 83124767052 1302544575071 2605089150142 3907633725213 5210178300284 7815267450426 11722901175639 15630534900852 23445802351278 35168703526917 46891604702556 70337407053834 105506110580751 140674814107668 211012221161502 422024442323004