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230463826651432 = 231121632635553721
BaseRepresentation
bin110100011001101100001010…
…100001010110100100101000
31010020000010102100000000201101
4310121230022201112210220
5220201404404110321212
62134053341555331144
766354314316342643
oct6431541241264450
91106003370000641
10230463826651432
1167484183a68700
1221a215252b0ab4
139b7985150281a
1440ca719d34a5a
151b99d5dde7157
hexd19b0a856928

230463826651432 has 96 divisors (see below), whose sum is σ = 479705625685440. Its totient is φ = 103717720339200.

The previous prime is 230463826651363. The next prime is 230463826651441. The reversal of 230463826651432 is 234156628364032.

It is a super-3 number, since 3×2304638266514323 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38720332 + ... + 44274052.

It is an arithmetic number, because the mean of its divisors is an integer number (4996933600890).

Almost surely, 2230463826651432 is an apocalyptic number.

230463826651432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230463826651432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239852812842720).

230463826651432 is an abundant number, since it is smaller than the sum of its proper divisors (249241799034008).

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

230463826651432 is a wasteful number, since it uses less digits than its factorization.

230463826651432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5554175 (or 5554160 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 55.

The spelling of 230463826651432 in words is "two hundred thirty trillion, four hundred sixty-three billion, eight hundred twenty-six million, six hundred fifty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 121 163 242 263 326 484 526 652 968 1052 1304 1793 2104 2893 3586 5786 7172 11572 14344 19723 23144 31823 39446 42869 63646 78892 85738 127292 157784 171476 254584 342952 471559 943118 1886236 3772472 5187149 5553721 10374298 11107442 20748596 22214884 41497192 44429768 61090931 122181862 244363724 488727448 672000241 905256523 1344000482 1460628623 1810513046 2688000964 2921257246 3621026092 5376001928 5842514492 7242052184 9957821753 11685028984 16066914853 19915643506 32133829706 39831287012 64267659412 79662574024 109536039283 128535318824 176736063383 219072078566 238082465549 353472126766 438144157132 476164931098 706944253532 876288314264 952329862196 1413888507064 1904659724392 2618907121039 5237814242078 10475628484156 20951256968312 28807978331429 57615956662858 115231913325716 230463826651432