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42230555424 = 25321932233407
BaseRepresentation
bin100111010101001000…
…110010001100100000
311001000010020111022100
4213111020302030200
51142442010233144
631222255210400
73023340540561
oct472510621440
9131003214270
1042230555424
1116a01058382
128226b16a00
133ca0221945
142088920168
15117273c269
hex9d5232320

42230555424 has 144 divisors (see below), whose sum is σ = 121292301312. Its totient is φ = 13937025024.

The previous prime is 42230555401. The next prime is 42230555429. The reversal of 42230555424 is 42455503224.

42230555424 is a `hidden beast` number, since 4 + 223 + 0 + 5 + 5 + 5 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×422305554242 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (42230555429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12393529 + ... + 12396935.

It is an arithmetic number, because the mean of its divisors is an integer number (842307648).

Almost surely, 242230555424 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 42230555424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60646150656).

42230555424 is an abundant number, since it is smaller than the sum of its proper divisors (79061745888).

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

42230555424 is a wasteful number, since it uses less digits than its factorization.

42230555424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3839 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The spelling of 42230555424 in words is "forty-two billion, two hundred thirty million, five hundred fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 193 223 288 386 446 579 669 772 892 1158 1338 1544 1737 1784 2007 2316 2676 3088 3407 3474 3568 4014 4632 5352 6176 6814 6948 7136 8028 9264 10221 10704 13628 13896 16056 18528 20442 21408 27256 27792 30663 32112 40884 43039 54512 55584 61326 64224 81768 86078 109024 122652 129117 163536 172156 245304 258234 327072 344312 387351 490608 516468 657551 688624 759761 774702 981216 1032936 1315102 1377248 1519522 1549404 1972653 2065872 2279283 2630204 3039044 3098808 3945306 4131744 4558566 5260408 5917959 6078088 6197616 6837849 7890612 9117132 10520816 11835918 12156176 12395232 13675698 15781224 18234264 21041632 23671836 24312352 27351396 31562448 36468528 47343672 54702792 63124896 72937056 94687344 109405584 146633873 189374688 218811168 293267746 439901619 586535492 879803238 1173070984 1319704857 1759606476 2346141968 2639409714 3519212952 4692283936 5278819428 7038425904 10557638856 14076851808 21115277712 42230555424