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40306858722 = 232139710131753
BaseRepresentation
bin100101100010011110…
…011101101011100010
310212001001110120112100
4211202132131223202
51130022023434342
630303335511230
72624561434434
oct454236355342
9125031416470
1040306858722
1116104197599
12798a828516
133a54812180
141d45248654
1510ad8ece4c
hex96279dae2

40306858722 has 96 divisors (see below), whose sum is σ = 95166974448. Its totient is φ = 12255141888.

The previous prime is 40306858699. The next prime is 40306858727. The reversal of 40306858722 is 22785860304.

40306858722 is a `hidden beast` number, since 4 + 0 + 3 + 0 + 68 + 587 + 2 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 522168201 + 39784690521 = 22851^2 + 199461^2 .

It is not an unprimeable number, because it can be changed into a prime (40306858727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22992198 + ... + 22993950.

Almost surely, 240306858722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40306858722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47583487224).

40306858722 is an abundant number, since it is smaller than the sum of its proper divisors (54860115726).

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

40306858722 is a wasteful number, since it uses less digits than its factorization.

40306858722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 40306858722 in words is "forty billion, three hundred six million, eight hundred fifty-eight thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 97 117 194 234 291 582 873 1013 1261 1746 1753 2026 2522 3039 3506 3783 5259 6078 7566 9117 10518 11349 13169 15777 18234 22698 22789 26338 31554 39507 45578 68367 79014 98261 118521 136734 170041 196522 205101 237042 294783 340082 410202 510123 589566 884349 1020246 1277393 1530369 1768698 1775789 2210533 2554786 3060738 3551578 3832179 4421066 5327367 6631599 7664358 10654734 11496537 13263198 15982101 19894797 22993074 23085257 31964202 39789594 46170514 69255771 138511542 172251533 207767313 344503066 415534626 516754599 1033509198 1550263797 2239269929 3100527594 4478539858 6717809787 13435619574 20153429361 40306858722