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422444203408 = 241731736531051
BaseRepresentation
bin1100010010110111010…
…00101111110110010000
31111101101212022000222201
412021123220233312100
523410131204002113
6522022421212544
742343363324243
oct6113350576620
91441355260881
10422444203408
11153180815637
1269a57861154
1330ab450a786
1416636d3325a
15aec701ccdd
hex625ba2fd90

422444203408 has 160 divisors (see below), whose sum is σ = 909095242752. Its totient is φ = 189278208000.

The previous prime is 422444203403. The next prime is 422444203421. The reversal of 422444203408 is 804302444224.

It is not an unprimeable number, because it can be changed into a prime (422444203403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401944483 + ... + 401945533.

Almost surely, 2422444203408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422444203408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454547621376).

422444203408 is an abundant number, since it is smaller than the sum of its proper divisors (486651039344).

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

422444203408 is a wasteful number, since it uses less digits than its factorization.

422444203408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 37.

The spelling of 422444203408 in words is "four hundred twenty-two billion, four hundred forty-four million, two hundred three thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 31 34 62 68 73 124 136 146 248 272 292 496 527 584 653 1051 1054 1168 1241 1306 2102 2108 2263 2482 2612 4204 4216 4526 4964 5224 8408 8432 9052 9928 10448 11101 16816 17867 18104 19856 20243 22202 32581 35734 36208 38471 40486 44404 47669 65162 71468 76723 76942 80972 88808 95338 130324 142936 153446 153884 161944 177616 190676 260648 285872 306892 307768 323888 344131 381352 521296 553877 613784 615536 686303 688262 762704 810373 1107754 1227568 1304291 1372606 1376524 1477739 1620746 2215508 2378413 2608582 2745212 2753048 2955478 3241492 4431016 4756826 5217164 5490424 5506096 5910956 6482984 8862032 9513652 10434328 10980848 11667151 11821912 12965968 19027304 20868656 21275393 23334302 23643824 25121563 38054608 40433021 42550786 46668604 50100119 50243126 80866042 85101572 93337208 100200238 100486252 161732084 170203144 186674416 200400476 200972504 323464168 340406288 361681681 400800952 401945008 646928336 723363362 801601904 851702023 1446726724 1553103689 1703404046 2893453448 3106207378 3406808092 5786906896 6212414756 6813616184 12424829512 13627232368 24849659024 26402762713 52805525426 105611050852 211222101704 422444203408