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2434216144332 = 2237239385331469
BaseRepresentation
bin100011011011000010100…
…101101010110111001100
322121201010201010110001210
4203123002211222313030
5304340233313104312
65102132523534420
7340603100555640
oct43330245526714
98551121113053
102434216144332
1185938860a915
1233392608a410
131487128a695b
1485b60dd6c20
15434bd71ce3c
hex236c296adcc

2434216144332 has 96 divisors (see below), whose sum is σ = 6520302028800. Its totient is φ = 692378572032.

The previous prime is 2434216144319. The next prime is 2434216144369. The reversal of 2434216144332 is 2334416124342.

2434216144332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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, 77337094 + ... + 77368562.

It is an arithmetic number, because the mean of its divisors is an integer number (67919812800).

Almost surely, 22434216144332 is an apocalyptic number.

It is an amenable number.

2434216144332 is an abundant number, since it is smaller than the sum of its proper divisors (4086085884468).

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

2434216144332 is a wasteful number, since it uses less digits than its factorization.

2434216144332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35575 (or 35573 counting only the distinct ones).

The product of its digits is 331776, while the sum is 39.

The spelling of 2434216144332 in words is "two trillion, four hundred thirty-four billion, two hundred sixteen million, one hundred forty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 239 478 717 956 1434 1673 2868 3346 3853 5019 6692 7706 10038 11559 15412 20076 23118 26971 31469 46236 53942 62938 80913 94407 107884 125876 161826 188814 220283 323652 377628 440566 660849 881132 920867 1321698 1841734 2643396 2762601 3683468 5525202 6446069 7521091 11050404 12892138 15042182 19338207 22563273 25784276 30084364 38676414 45126546 52647637 77352828 90253092 105295274 121250057 157942911 210590548 242500114 315885822 363750171 485000228 631771644 727500342 848750399 1455000684 1697500798 2546251197 3395001596 5092502394 10185004788 28978763623 57957527246 86936290869 115915054492 173872581738 202851345361 347745163476 405702690722 608554036083 811405381444 1217108072166 2434216144332