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234202431424 = 26135915730389
BaseRepresentation
bin1101101000011110001…
…1010111111111000000
3211101111222012020000211
43122013203113333000
512314121310301144
6255331402523504
722630516551343
oct3320743277700
9741458166024
10234202431424
1190363192155
1239481b06594
1319115231890
14b49a6d645a
15615aead034
hex36878d7fc0

234202431424 has 112 divisors (see below), whose sum is σ = 512236821600. Its totient is φ = 105581039616.

The previous prime is 234202431413. The next prime is 234202431427. The reversal of 234202431424 is 424134202432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234202431427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7691622 + ... + 7722010.

It is an arithmetic number, because the mean of its divisors is an integer number (4573543050).

Almost surely, 2234202431424 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 234202431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256118410800).

234202431424 is an abundant number, since it is smaller than the sum of its proper divisors (278034390176).

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

234202431424 is a wasteful number, since it uses less digits than its factorization.

234202431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30630 (or 30620 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 234202431424 its reverse (424134202432), we get a palindrome (658336633856).

The spelling of 234202431424 in words is "two hundred thirty-four billion, two hundred two million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 59 64 104 118 157 208 236 314 416 472 628 767 832 944 1256 1534 1888 2041 2512 3068 3776 4082 5024 6136 8164 9263 10048 12272 16328 18526 24544 30389 32656 37052 49088 60778 65312 74104 120419 121556 130624 148208 240838 243112 296416 395057 481676 486224 592832 790114 963352 972448 1580228 1792951 1926704 1944896 3160456 3585902 3853408 4771073 6320912 7171804 7706816 9542146 12641824 14343608 19084292 23308363 25283648 28687216 38168584 46616726 57374432 62023949 76337168 93233452 114748864 124047898 152674336 186466904 248095796 281493307 305348672 372933808 496191592 562986614 745867616 992383184 1125973228 1491735232 1984766368 2251946456 3659412991 3969532736 4503892912 7318825982 9007785824 14637651964 18015571648 29275303928 58550607856 117101215712 234202431424