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20214114140 = 22511533075647
BaseRepresentation
bin10010110100110110…
…101110011101011100
31221011202102101122002
4102310312232131130
5312344303123030
613141454341432
71313632064243
oct226466563534
957152371562
1020214114140
118633382160
123b017ba878
131ba1b642ac
14d9a8dd95a
157d4962245
hex4b4dae75c

20214114140 has 96 divisors (see below), whose sum is σ = 47344518144. Its totient is φ = 7187132160.

The previous prime is 20214114119. The next prime is 20214114211. The reversal of 20214114140 is 4141141202.

It is a super-2 number, since 2×202141141402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3576797 + ... + 3582443.

It is an arithmetic number, because the mean of its divisors is an integer number (493172064).

Almost surely, 220214114140 is an apocalyptic number.

20214114140 is a gapful number since it is divisible by the number (20) 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 20214114140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23672259072).

20214114140 is an abundant number, since it is smaller than the sum of its proper divisors (27130404004).

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

20214114140 is a wasteful number, since it uses less digits than its factorization.

20214114140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6027 (or 6025 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 20214114140 its reverse (4141141202), we get a palindrome (24355255342).

The spelling of 20214114140 in words is "twenty billion, two hundred fourteen million, one hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 307 530 583 614 1060 1166 1228 1535 2332 2915 3070 3377 5647 5830 6140 6754 11294 11660 13508 16271 16885 22588 28235 32542 33770 56470 62117 65084 67540 81355 112940 124234 162710 178981 248468 299291 310585 325420 357962 598582 621170 715924 894905 1197164 1242340 1496455 1733629 1789810 2992910 3292201 3467258 3579620 5985820 6584402 6934516 8668145 13168804 16461005 17336290 19069919 32922010 34672580 38139838 65844020 76279676 91882337 95349595 183764674 190699190 367529348 381398380 459411685 918823370 1010705707 1837646740 2021411414 4042822828 5053528535 10107057070 20214114140