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13742015430 = 235111319533181
BaseRepresentation
bin11001100110001011…
…01000001111000110
31022110201000201021110
430303011220033012
5211120423443210
610151335025450
7664353126633
oct146305501706
938421021243
1013742015430
115912011650
1227b620b286
1313b00320a0
1494511d18a
15556673420
hex3331683c6

13742015430 has 256 divisors, whose sum is σ = 41568629760. Its totient is φ = 2857420800.

The previous prime is 13742015407. The next prime is 13742015437. The reversal of 13742015430 is 3451024731.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13742015437) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4318440 + ... + 4321620.

It is an arithmetic number, because the mean of its divisors is an integer number (162377460).

Almost surely, 213742015430 is an apocalyptic number.

13742015430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13742015430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20784314880).

13742015430 is an abundant number, since it is smaller than the sum of its proper divisors (27826614330).

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

13742015430 is a wasteful number, since it uses less digits than its factorization.

13742015430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3287.

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 13742015430 in words is "thirteen billion, seven hundred forty-two million, fifteen thousand, four hundred thirty".