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1406196512 = 25729472
BaseRepresentation
bin101001111010000…
…1101101100100000
310122000000011222022
41103310031230200
510334441242022
6351311401012
746563321200
oct12364155440
93560004868
101406196512
11661841286
12332b23168
1319543b056
14d4a86400
15836bac42
hex53d0db20

1406196512 has 54 divisors (see below), whose sum is σ = 3223845387. Its totient is φ = 602019264.

The previous prime is 1406196509. The next prime is 1406196523. The reversal of 1406196512 is 2156916041.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 703098256 + 703098256 = 26516^2 + 26516^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=26516.

It is a super-2 number, since 2×14061965122 = 3954777260721932288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1484423 + ... + 1485369.

Almost surely, 21406196512 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 1406196512

1406196512 is an abundant number, since it is smaller than the sum of its proper divisors (1817648875).

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

1406196512 is an frugal number, since it uses more digits than its factorization.

1406196512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 1406196512 is about 37499.2868198850. The cubic root of 1406196512 is about 1120.3369819331.

The spelling of 1406196512 in words is "one billion, four hundred six million, one hundred ninety-six thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 947 1568 1894 3788 6629 7576 13258 15152 26516 30304 46403 53032 92806 106064 185612 212128 371224 742448 896809 1484896 1793618 3587236 6277663 7174472 12555326 14348944 25110652 28697888 43943641 50221304 87887282 100442608 175774564 200885216 351549128 703098256 1406196512