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140023402452 = 2232291278271277
BaseRepresentation
bin1000001001101000001…
…0111000111111010100
3111101102110201211212200
42002122002320333110
54243231442334302
6144154215244500
713054624166013
oct2023202707724
9441373654780
10140023402452
115442461880a
1223179679730
1310286696cbb
146ac47a0a7a
153997ce581c
hex209a0b8fd4

140023402452 has 144 divisors (see below), whose sum is σ = 369771816960. Its totient is φ = 44621127936.

The previous prime is 140023402399. The next prime is 140023402487. The reversal of 140023402452 is 254204320041.

140023402452 is a `hidden beast` number, since 1 + 400 + 234 + 0 + 24 + 5 + 2 = 666.

It is a super-2 number, since 2×1400234024522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109649638 + ... + 109650914.

It is an arithmetic number, because the mean of its divisors is an integer number (2567859840).

Almost surely, 2140023402452 is an apocalyptic number.

140023402452 is a gapful number since it is divisible by the number (12) 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 140023402452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184885908480).

140023402452 is an abundant number, since it is smaller than the sum of its proper divisors (229748414508).

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

140023402452 is a wasteful number, since it uses less digits than its factorization.

140023402452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 140023402452 its reverse (254204320041), we get a palindrome (394227722493).

The spelling of 140023402452 in words is "one hundred forty billion, twenty-three million, four hundred two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 127 174 254 261 348 381 508 522 762 827 1044 1143 1277 1524 1654 2286 2481 2554 3308 3683 3831 4572 4962 5108 7366 7443 7662 9924 11049 11493 14732 14886 15324 22098 22986 23983 29772 33147 37033 44196 45972 47966 66294 71949 74066 95932 105029 111099 132588 143898 148132 162179 210058 215847 222198 287796 315087 324358 333297 420116 431694 444396 486537 630174 648716 666594 863388 945261 973074 1056079 1260348 1333188 1459611 1890522 1946148 2112158 2919222 3045841 3168237 3781044 4224316 4703191 5838444 6091682 6336474 9137523 9406382 9504711 12183364 12672948 14109573 18275046 18812764 19009422 27412569 28219146 30626291 36550092 38018844 42328719 54825138 56438292 61252582 84657438 91878873 109650276 122505164 134122033 169314876 183757746 268244066 275636619 367515492 402366099 536488132 551273238 804732198 1102546476 1207098297 1609464396 2414196594 3889538957 4828393188 7779077914 11668616871 15558155828 23337233742 35005850613 46674467484 70011701226 140023402452