Search a number
-
+
1431020256432 = 243133596388027
BaseRepresentation
bin10100110100101111011…
…101000011110010110000
312001210201021002002120020
4110310233131003302300
5141421212141201212
63013222430243440
7205250005324314
oct24645735036260
95053637062506
101431020256432
1150198a6a0058
121b1411956580
13a4c3847c1b0
144d394355b44
152735661bd8c
hex14d2f743cb0

1431020256432 has 80 divisors (see below), whose sum is σ = 3992261978880. Its totient is φ = 439087355136.

The previous prime is 1431020256319. The next prime is 1431020256433. The reversal of 1431020256432 is 2346520201341.

It is a junction number, because it is equal to n+sod(n) for n = 1431020256393 and 1431020256402.

It is not an unprimeable number, because it can be changed into a prime (1431020256433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2969998 + ... + 3418029.

It is an arithmetic number, because the mean of its divisors is an integer number (49903274736).

Almost surely, 21431020256432 is an apocalyptic number.

1431020256432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1431020256432 is an abundant number, since it is smaller than the sum of its proper divisors (2561241722448).

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

1431020256432 is a wasteful number, since it uses less digits than its factorization.

1431020256432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6388410 (or 6388404 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 1431020256432 its reverse (2346520201341), we get a palindrome (3777540457773).

The spelling of 1431020256432 in words is "one trillion, four hundred thirty-one billion, twenty million, two hundred fifty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 359 624 718 1077 1436 2154 2872 4308 4667 5744 8616 9334 14001 17232 18668 28002 37336 56004 74672 112008 224016 6388027 12776054 19164081 25552108 38328162 51104216 76656324 83044351 102208432 153312648 166088702 249133053 306625296 332177404 498266106 664354808 996532212 1328709616 1993064424 2293301693 3986128848 4586603386 6879905079 9173206772 13759810158 18346413544 27519620316 29812922009 36692827088 55039240632 59625844018 89438766027 110078481264 119251688036 178877532054 238503376072 357755064108 477006752144 715510128216 1431020256432