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23410214040 = 2335296727073
BaseRepresentation
bin10101110011010110…
…111000010010011000
32020102111110002110110
4111303112320102120
5340421003322130
614430550044320
71456061351613
oct256326702230
966374402413
1023410214040
119a23501334
1246540496a0
132291068875
1411c119117a
1592033eab0
hex5735b8498

23410214040 has 64 divisors (see below), whose sum is σ = 72652399200. Its totient is φ = 6027456512.

The previous prime is 23410214033. The next prime is 23410214041. The reversal of 23410214040 is 4041201432.

It is a super-2 number, since 2×234102140402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23410213998 and 23410214016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23410214041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3360057 + ... + 3367016.

Almost surely, 223410214040 is an apocalyptic number.

23410214040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23410214040 is an abundant number, since it is smaller than the sum of its proper divisors (49242185160).

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

23410214040 is a wasteful number, since it uses less digits than its factorization.

23410214040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6727116 (or 6727112 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 23410214040 its reverse (4041201432), we get a palindrome (27451415472).

The spelling of 23410214040 in words is "twenty-three billion, four hundred ten million, two hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 6727073 13454146 20181219 26908292 33635365 40362438 53816584 67270730 80724876 100906095 134541460 161449752 195085117 201812190 269082920 390170234 403624380 585255351 780340468 807248760 975425585 1170510702 1560680936 1950851170 2341021404 2926276755 3901702340 4682042808 5852553510 7803404680 11705107020 23410214040