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431401000020 = 223573163760167
BaseRepresentation
bin1100100011100011000…
…00001101110001010100
31112020112002002110002120
412101301200031301110
524032002124000040
6530103300335540
743111342666014
oct6216140156124
91466462073076
10431401000020
11156a57688491
126b7373a45b0
13318b1042123
1416c466ddc44
15b34d5137d0
hex647180dc54

431401000020 has 96 divisors (see below), whose sum is σ = 1225238047488. Its totient is φ = 113393175552.

The previous prime is 431401000013. The next prime is 431401000073. The reversal of 431401000020 is 20000104134.

It is a super-2 number, since 2×4314010000202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 7139977 + ... + 7200143.

It is an arithmetic number, because the mean of its divisors is an integer number (12762896328).

Almost surely, 2431401000020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431401000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612619023744).

431401000020 is an abundant number, since it is smaller than the sum of its proper divisors (793837047468).

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

431401000020 is a wasteful number, since it uses less digits than its factorization.

431401000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61889 (or 61887 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 431401000020 its reverse (20000104134), we get a palindrome (451401104154).

The spelling of 431401000020 in words is "four hundred thirty-one billion, four hundred one million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 1637 2190 3274 4380 4911 6548 8185 9822 16370 19644 24555 32740 49110 60167 98220 119501 120334 180501 239002 240668 300835 358503 361002 478004 597505 601670 717006 722004 902505 1195010 1203340 1434012 1792515 1805010 2390020 3585030 3610020 4392191 7170060 8784382 13176573 17568764 21960955 26353146 43921910 52706292 65882865 87843820 98493379 131765730 196986758 263531460 295480137 393973516 492466895 590960274 984933790 1181920548 1477400685 1969867580 2954801370 5909602740 7190016667 14380033334 21570050001 28760066668 35950083335 43140100002 71900166670 86280200004 107850250005 143800333340 215700500010 431401000020