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1431290080 = 255111814493
BaseRepresentation
bin101010101001111…
…1100000011100000
310200202020001212201
41111103330003200
510412402240310
6354005302544
750316523243
oct12523740340
93622201781
101431290080
11674a20470
1233b404a54
1319a6b5a0c
14d813925a
15859c5e3a
hex554fc0e0

1431290080 has 96 divisors (see below), whose sum is σ = 3710030688. Its totient is φ = 517478400.

The previous prime is 1431290071. The next prime is 1431290111. The reversal of 1431290080 is 800921341.

It is a happy number.

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, 316314 + ... + 320806.

It is an arithmetic number, because the mean of its divisors is an integer number (38646153).

Almost surely, 21431290080 is an apocalyptic number.

1431290080 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 1431290080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855015344).

1431290080 is an abundant number, since it is smaller than the sum of its proper divisors (2278740608).

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

1431290080 is a wasteful number, since it uses less digits than its factorization.

1431290080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4700 (or 4692 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1431290080 is about 37832.3945845356. The cubic root of 1431290080 is about 1126.9618653127.

The spelling of 1431290080 in words is "one billion, four hundred thirty-one million, two hundred ninety thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 181 220 352 362 440 724 880 905 1448 1760 1810 1991 2896 3620 3982 4493 5792 7240 7964 8986 9955 14480 15928 17972 19910 22465 28960 31856 35944 39820 44930 49423 63712 71888 79640 89860 98846 143776 159280 179720 197692 247115 318560 359440 395384 494230 718880 790768 813233 988460 1581536 1626466 1976920 3252932 3953840 4066165 6505864 7907680 8132330 8945563 13011728 16264660 17891126 26023456 32529320 35782252 44727815 65058640 71564504 89455630 130117280 143129008 178911260 286258016 357822520 715645040 1431290080