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140029255491840 = 283451113192961281
BaseRepresentation
bin11111110101101100011010…
…000010000010000100000000
3200100210122222120121111210000
4133311230122002002010000
5121323214403401214330
61213452315113440000
741331531326621151
oct3765543202020400
9610718876544700
10140029255491840
114068808a196280
1213856736410000
136019918781910
1426816488d3928
15112c737aa0560
hex7f5b1a082100

140029255491840 has 5760 divisors, whose sum is σ = 653820977779200. Its totient is φ = 28092137472000.

The previous prime is 140029255491823. The next prime is 140029255491841. The reversal of 140029255491840 is 48194552920041.

140029255491840 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 2 + 9 + 2 + 554 + 9 + 1 + 84 + 0 = 666.

140029255491840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (140029255491841) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 498324752500 + ... + 498324752780.

It is an arithmetic number, because the mean of its divisors is an integer number (113510586420).

Almost surely, 2140029255491840 is an apocalyptic number.

140029255491840 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 140029255491840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326910488889600).

140029255491840 is an abundant number, since it is smaller than the sum of its proper divisors (513791722287360).

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

140029255491840 is a wasteful number, since it uses less digits than its factorization.

140029255491840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 140029255491840 in words is "one hundred forty trillion, twenty-nine billion, two hundred fifty-five million, four hundred ninety-one thousand, eight hundred forty".