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418919338242 = 238181233757
BaseRepresentation
bin1100001100010011000…
…10011101000100000010
31111001022012122100000000
412012021202131010002
523330421322310432
6520240543140430
742160132423356
oct6061142350402
91431265570000
10418919338242
11151732055229
12692332a4716
1330672176442
14163c0b41466
15ad6c84d57c
hex618989d102

418919338242 has 144 divisors (see below), whose sum is σ = 953052747192. Its totient is φ = 138089629440.

The previous prime is 418919338231. The next prime is 418919338247. The reversal of 418919338242 is 242833919814.

418919338242 is a `hidden beast` number, since 4 + 189 + 193 + 38 + 242 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 189833618601 + 229085719641 = 435699^2 + 478629^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (418919338247) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 553393728 + ... + 553394484.

Almost surely, 2418919338242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 418919338242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476526373596).

418919338242 is an abundant number, since it is smaller than the sum of its proper divisors (534133408950).

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

418919338242 is an equidigital number, since it uses as much as digits as its factorization.

418919338242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1176 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 418919338242 in words is "four hundred eighteen billion, nine hundred nineteen million, three hundred thirty-eight thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 181 233 243 362 466 486 543 699 729 757 1086 1398 1458 1514 1629 2097 2187 2271 3258 4194 4374 4542 4887 6291 6561 6813 9774 12582 13122 13626 14661 18873 20439 29322 37746 40878 42173 43983 56619 61317 84346 87966 113238 122634 126519 131949 137017 169857 176381 183951 253038 263898 274034 339714 352762 367902 379557 395847 411051 509571 529143 551853 759114 791694 822102 1019142 1058286 1103706 1138671 1187541 1233153 1528713 1587429 1655559 2277342 2375082 2466306 3057426 3174858 3311118 3416013 3699459 4762287 4966677 6832026 7398918 9524574 9933354 10248039 11098377 14286861 20496078 22196754 28573722 30744117 31924961 33295131 42860583 61488234 63849922 66590262 85721166 92232351 95774883 99885393 128581749 184464702 191549766 199770786 257163498 276697053 287324649 299656179 385745247 553394106 574649298 599312358 771490494 861973947 898968537 1157235741 1723947894 1797937074 2314471482 2585921841 5171843682 7757765523 15515531046 23273296569 46546593138 69819889707 139639779414 209459669121 418919338242