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15142253430 = 23517296831499
BaseRepresentation
bin11100001101000110…
…00111001101110110
31110002021211011201010
432012203013031312
5222002404102210
610542315013050
71044145013313
oct160643071566
943067734633
1015142253430
116470453137
122b2713a186
131574164c95
14a39093d0a
155d9563920
hex3868c7376

15142253430 has 128 divisors (see below), whose sum is σ = 39890880000. Its totient is φ = 3661543424.

The previous prime is 15142253429. The next prime is 15142253491. The reversal of 15142253430 is 3435224151.

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

It is a congruent number.

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, 10100821 + ... + 10102319.

It is an arithmetic number, because the mean of its divisors is an integer number (311647500).

Almost surely, 215142253430 is an apocalyptic number.

15142253430 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 15142253430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19945440000).

15142253430 is an abundant number, since it is smaller than the sum of its proper divisors (24748626570).

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

15142253430 is a wasteful number, since it uses less digits than its factorization.

15142253430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238.

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 15142253430 its reverse (3435224151), we get a palindrome (18577477581).

The spelling of 15142253430 in words is "fifteen billion, one hundred forty-two million, two hundred fifty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 29 30 34 51 58 85 87 102 145 170 174 255 290 435 493 510 683 870 986 1366 1479 1499 2049 2465 2958 2998 3415 4098 4497 4930 6830 7395 7495 8994 10245 11611 14790 14990 19807 20490 22485 23222 25483 34833 39614 43471 44970 50966 58055 59421 69666 76449 86942 99035 116110 118842 127415 130413 152898 174165 198070 217355 254830 260826 297105 336719 348330 382245 434710 594210 652065 673438 739007 764490 1010157 1023817 1304130 1478014 1683595 2020314 2047634 2217021 3071451 3367190 3695035 4434042 5050785 5119085 6142902 7390070 10101570 10238170 11085105 15357255 17404889 22170210 29690693 30714510 34809778 52214667 59381386 87024445 89072079 104429334 148453465 174048890 178144158 261073335 296906930 445360395 504741781 522146670 890720790 1009483562 1514225343 2523708905 3028450686 5047417810 7571126715 15142253430