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140629038840 = 23335198977003
BaseRepresentation
bin1000001011111000100…
…1001101011011111000
3111102222200100100211000
42002332021031123320
54301002013220330
6144334252205000
713105630051533
oct2027611153370
9442880310730
10140629038840
1154705476354
1223308469760
1310351cb7224
146b40db3a1a
1539d1078560
hex20be24d6f8

140629038840 has 256 divisors, whose sum is σ = 498985920000. Its totient is φ = 35127696384.

The previous prime is 140629038799. The next prime is 140629038841. The reversal of 140629038840 is 48830926041.

It is a happy number.

140629038840 is a `hidden beast` number, since 14 + 0 + 629 + 0 + 3 + 8 + 8 + 4 + 0 = 666.

140629038840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×1406290388404 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140629038841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1787779 + ... + 1864781.

It is an arithmetic number, because the mean of its divisors is an integer number (1949163750).

Almost surely, 2140629038840 is an apocalyptic number.

140629038840 is a gapful number since it is divisible by the number (10) 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 140629038840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249492960000).

140629038840 is an abundant number, since it is smaller than the sum of its proper divisors (358356881160).

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

140629038840 is a wasteful number, since it uses less digits than its factorization.

140629038840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77131 (or 77121 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 140629038840 in words is "one hundred forty billion, six hundred twenty-nine million, thirty-eight thousand, eight hundred forty".