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1430120042320 = 245173760313591
BaseRepresentation
bin10100110011111001110…
…011000000111101010000
312001201101112011110221211
4110303321303000331100
5141412341212323240
63012553231425504
7205215464534344
oct24637163007520
95051345143854
101430120042320
11501568531952
121b1200385294
13a4b23b0c218
144d30a981624
152730259bbea
hex14cf9cc0f50

1430120042320 has 80 divisors (see below), whose sum is σ = 3344934874752. Its totient is φ = 568624734720.

The previous prime is 1430120042311. The next prime is 1430120042357. The reversal of 1430120042320 is 232400210341.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1430120042291 and 1430120042300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105218725 + ... + 105232315.

Almost surely, 21430120042320 is an apocalyptic number.

1430120042320 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 1430120042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672467437376).

1430120042320 is an abundant number, since it is smaller than the sum of its proper divisors (1914814832432).

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

1430120042320 is a wasteful number, since it uses less digits than its factorization.

1430120042320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21380 (or 21374 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 1430120042320 its reverse (232400210341), we get a palindrome (1662520252661).

The spelling of 1430120042320 in words is "one trillion, four hundred thirty billion, one hundred twenty million, forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 865 1384 1730 2768 3460 6920 7603 13591 13840 15206 27182 30412 38015 54364 60824 67955 76030 108728 121648 135910 152060 217456 271820 304120 543640 608240 1087280 1315319 2351243 2630638 4702486 5261276 6576595 9404972 10522552 11756215 13153190 18809944 21045104 23512430 26306380 37619888 47024860 52612760 94049720 103332373 105225520 188099440 206664746 413329492 516661865 826658984 1033323730 1653317968 2066647460 4133294920 8266589840 17876500529 35753001058 71506002116 89382502645 143012004232 178765005290 286024008464 357530010580 715060021160 1430120042320