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1120746700840 = 2351317298949121
BaseRepresentation
bin10000010011110001101…
…101011000000000101000
310222010211202122100222011
4100103301231120000220
5121330242123411330
62214510335205304
7143654101526554
oct20236155300050
93863752570864
101120746700840
113a2340327448
1216125b976834
13818bc093b10
143c35ca02864
151e24706682a
hex104f1b58028

1120746700840 has 256 divisors, whose sum is σ = 3008034792000. Its totient is φ = 371809320960.

The previous prime is 1120746700769. The next prime is 1120746700877. The reversal of 1120746700840 is 480076470211.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 296438869444 + 824307831396 = 544462^2 + 907914^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1120746700793 and 1120746700802.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22791480 + ... + 22840600.

Almost surely, 21120746700840 is an apocalyptic number.

1120746700840 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 1120746700840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504017396000).

1120746700840 is an abundant number, since it is smaller than the sum of its proper divisors (1887288091160).

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

1120746700840 is a wasteful number, since it uses less digits than its factorization.

1120746700840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49280 (or 49276 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The spelling of 1120746700840 in words is "one trillion, one hundred twenty billion, seven hundred forty-six million, seven hundred thousand, eight hundred forty".