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23404333340432 = 2411636120905387
BaseRepresentation
bin1010101001001001111101…
…11110011001011100010000
310001212102200020020122122202
411110210332332121130100
511031424033313343212
6121435445144222332
74633623124663412
oct524447676313420
9101772606218582
1023404333340432
1175037a40259a0
12275babba6a9a8
13100a033145a25
145acac0a3c9b2
152a8c016410c2
hex15493ef99710

23404333340432 has 40 divisors (see below), whose sum is σ = 49476029185632. Its totient is φ = 10636660396800.

The previous prime is 23404333340429. The next prime is 23404333340447.

23404333340432 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×234043333404322 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9333158 + ... + 11572229.

Almost surely, 223404333340432 is an apocalyptic number.

23404333340432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23404333340432 is an abundant number, since it is smaller than the sum of its proper divisors (26071695845200).

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

23404333340432 is a wasteful number, since it uses less digits than its factorization.

23404333340432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20911767 (or 20911761 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 38.

It can be divided in two parts, 2340433 and 3340432, that added together give a palindrome (5680865).

The spelling of 23404333340432 in words is "twenty-three trillion, four hundred four billion, three hundred thirty-three million, three hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 6361 12722 25444 50888 69971 101776 139942 279884 559768 1119536 20905387 41810774 83621548 167243096 229959257 334486192 459918514 919837028 1839674056 3679348112 132979166707 265958333414 531916666828 1063833333656 1462770833777 2127666667312 2925541667554 5851083335108 11702166670216 23404333340432