Search a number
-
+
121442214384 = 2433370975793
BaseRepresentation
bin111000100011010000…
…1010010000111110000
3102121110111221200201000
41301012201102013300
53442203201330014
6131442332042000
711526310535031
oct1610641220760
9377414850630
10121442214384
1147559a67137
121b652903300
13b5b4c2656a
145c40ac6a88
15325b8d8509
hex1c468521f0

121442214384 has 80 divisors (see below), whose sum is σ = 348682717600. Its totient is φ = 40469289984.

The previous prime is 121442214317. The next prime is 121442214409. The reversal of 121442214384 is 483412244121.

121442214384 is a `hidden beast` number, since 1 + 2 + 14 + 422 + 143 + 84 = 666.

It is a super-2 number, since 2×1214422143842 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1564392 + ... + 1640184.

It is an arithmetic number, because the mean of its divisors is an integer number (4358533970).

Almost surely, 2121442214384 is an apocalyptic number.

It is an amenable number.

121442214384 is an abundant number, since it is smaller than the sum of its proper divisors (227240503216).

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

121442214384 is a wasteful number, since it uses less digits than its factorization.

121442214384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79519 (or 79507 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The spelling of 121442214384 in words is "one hundred twenty-one billion, four hundred forty-two million, two hundred fourteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 3709 7418 11127 14836 22254 29672 33381 44508 59344 66762 75793 89016 100143 133524 151586 178032 200286 227379 267048 303172 400572 454758 534096 606344 682137 801144 909516 1212688 1364274 1602288 1819032 2046411 2728548 3638064 4092822 5457096 8185644 10914192 16371288 32742576 281116237 562232474 843348711 1124464948 1686697422 2248929896 2530046133 3373394844 4497859792 5060092266 6746789688 7590138399 10120184532 13493579376 15180276798 20240369064 30360553596 40480738128 60721107192 121442214384