Search a number
-
+
702156131040 = 2535721319711657
BaseRepresentation
bin10100011011110111100…
…01000100101011100000
32111010101110122012111010
422031323301010223200
543001003432143130
61254322134420520
7101505040431600
oct12157361045340
92433343565433
10702156131040
11250867915881
12b40ba801740
13512a007ba20
1425dad802c00
15133e850b0b0
hexa37bc44ae0

702156131040 has 576 divisors, whose sum is σ = 2785120075584. Its totient is φ = 147382566912.

The previous prime is 702156131029. The next prime is 702156131113. The reversal of 702156131040 is 40131651207.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 702156130989 and 702156131007.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 60228892 + ... + 60240548.

It is an arithmetic number, because the mean of its divisors is an integer number (4835277909).

Almost surely, 2702156131040 is an apocalyptic number.

702156131040 is a gapful number since it is divisible by the number (70) 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 702156131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392560037792).

702156131040 is an abundant number, since it is smaller than the sum of its proper divisors (2082963944544).

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

702156131040 is a wasteful number, since it uses less digits than its factorization.

702156131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11899 (or 11884 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

Adding to 702156131040 its reverse (40131651207), we get a palindrome (742287782247).

The spelling of 702156131040 in words is "seven hundred two billion, one hundred fifty-six million, one hundred thirty-one thousand, forty".