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1430100440 = 235231579901
BaseRepresentation
bin101010100111101…
…1001100111011000
310200122222121222222
41111033121213120
510412101203230
6353524003212
750303440016
oct12517314730
93618877888
101430100440
1167428869a
1233ab30508
1319a38a3a2
14d7d098b6
158583d6e5
hex553d99d8

1430100440 has 64 divisors (see below), whose sum is σ = 3379354560. Its totient is φ = 543628800.

The previous prime is 1430100437. The next prime is 1430100449. The reversal of 1430100440 is 440010341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1430100449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139490 + ... + 149390.

It is an arithmetic number, because the mean of its divisors is an integer number (52802415).

Almost surely, 21430100440 is an apocalyptic number.

1430100440 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 1430100440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689677280).

1430100440 is an abundant number, since it is smaller than the sum of its proper divisors (1949254120).

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

1430100440 is a wasteful number, since it uses less digits than its factorization.

1430100440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10092 (or 10088 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1430100440 is about 37816.6688115175. The cubic root of 1430100440 is about 1126.6495478805.

Adding to 1430100440 its reverse (440010341), we get a palindrome (1870110781).

Subtracting from 1430100440 its reverse (440010341), we obtain a palindrome (990090099).

The spelling of 1430100440 in words is "one billion, four hundred thirty million, one hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 157 184 230 314 460 628 785 920 1256 1570 3140 3611 6280 7222 9901 14444 18055 19802 28888 36110 39604 49505 72220 79208 99010 144440 198020 227723 396040 455446 910892 1138615 1554457 1821784 2277230 3108914 4554460 6217828 7772285 9108920 12435656 15544570 31089140 35752511 62178280 71505022 143010044 178762555 286020088 357525110 715050220 1430100440