Search a number
-
+
1422102037680 = 2435517311271093
BaseRepresentation
bin10100101100011011111…
…000110000010010110000
312000221200201212122100000
4110230123320300102300
5141244431110201210
63005145450030000
7204513004605462
oct24543370602260
95027621778300
101422102037680
114a9123587335
121ab743118300
13a4146933c8c
144cb89b4c132
1526ed36e6ac0
hex14b1be304b0

1422102037680 has 960 divisors, whose sum is σ = 5460898480128. Its totient is φ = 342372925440.

The previous prime is 1422102037669. The next prime is 1422102037691. The reversal of 1422102037680 is 867302012241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1422102037669) and next prime (1422102037691).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1301099214 + ... + 1301100306.

Almost surely, 21422102037680 is an apocalyptic number.

1422102037680 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 1422102037680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730449240064).

1422102037680 is an abundant number, since it is smaller than the sum of its proper divisors (4038796442448).

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

1422102037680 is a wasteful number, since it uses less digits than its factorization.

1422102037680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1422102037680 in words is "one trillion, four hundred twenty-two billion, one hundred two million, thirty-seven thousand, six hundred eighty".