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140722555680 = 253257293153293
BaseRepresentation
bin1000001100001110110…
…1111100101100100000
3111110020012022111210200
42003003231330230200
54301144433240210
6144351432425200
713111143662430
oct2030355745440
9443205274720
10140722555680
11547532399a3
1223333848200
131036849ab35
146b4d5982c0
1539d939c0c0
hex20c3b7cb20

140722555680 has 1152 divisors, whose sum is σ = 599152619520. Its totient is φ = 29386506240.

The previous prime is 140722555661. The next prime is 140722555777. The reversal of 140722555680 is 86555227041.

140722555680 is a `hidden beast` number, since 1 + 4 + 0 + 72 + 25 + 556 + 8 + 0 = 666.

It is a super-2 number, since 2×1407225556802 (a number of 23 digits) contains 22 as substring.

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

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 191 ways as a sum of consecutive naturals, for example, 480281614 + ... + 480281906.

It is an arithmetic number, because the mean of its divisors is an integer number (520097760).

Almost surely, 2140722555680 is an apocalyptic number.

140722555680 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 140722555680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299576309760).

140722555680 is an abundant number, since it is smaller than the sum of its proper divisors (458430063840).

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

140722555680 is a wasteful number, since it uses less digits than its factorization.

140722555680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

It can be divided in two parts, 1407225 and 55680, that added together give a triangular number (1462905 = T1710).

The spelling of 140722555680 in words is "one hundred forty billion, seven hundred twenty-two million, five hundred fifty-five thousand, six hundred eighty".