Search a number
-
+
4142214034440 = 233534518450287
BaseRepresentation
bin111100010001101111001…
…100100011010000001000
3112122222210000111011221220
4330101233030203100020
51020331223243100230
612450523514202040
7605156632233246
oct74215714432010
915588700434856
104142214034440
111357780920639
1256a957123320
132407bc294081
141046aca1d796
1572b3626bd10
hex3c46f323408

4142214034440 has 32 divisors (see below), whose sum is σ = 12426642103680. Its totient is φ = 1104590409152.

The previous prime is 4142214034429. The next prime is 4142214034481. The reversal of 4142214034440 is 444304122414.

It is a super-2 number, since 2×41422140344402 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17259225024 + ... + 17259225263.

It is an arithmetic number, because the mean of its divisors is an integer number (388332565740).

Almost surely, 24142214034440 is an apocalyptic number.

4142214034440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4142214034440 is an abundant number, since it is smaller than the sum of its proper divisors (8284428069240).

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

4142214034440 is a wasteful number, since it uses less digits than its factorization.

4142214034440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34518450301 (or 34518450297 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 4142214034440 its reverse (444304122414), we get a palindrome (4586518156854).

The spelling of 4142214034440 in words is "four trillion, one hundred forty-two billion, two hundred fourteen million, thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 34518450287 69036900574 103555350861 138073801148 172592251435 207110701722 276147602296 345184502870 414221403444 517776754305 690369005740 828442806888 1035553508610 1380738011480 2071107017220 4142214034440