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4145014045152 = 253214392409879
BaseRepresentation
bin111100010100010110000…
…101101111100111100000
3112200021000011012110120100
4330110112011233213200
51020402442043421102
612452105420142400
7605316212024631
oct74242605574740
915607004173510
104145014045152
111358988406082
1256b3b8997a00
13240b473c6146
14104896847888
1572c4bea9a1c
hex3c51616f9e0

4145014045152 has 36 divisors (see below), whose sum is σ = 11787383691720. Its totient is φ = 1381671348288.

The previous prime is 4145014045129. The next prime is 4145014045153. The reversal of 4145014045152 is 2515404105414.

4145014045152 is a `hidden beast` number, since 4 + 1 + 450 + 14 + 0 + 45 + 152 = 666.

4145014045152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×41450140451522 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4145014045153) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7196204652 + ... + 7196205227.

It is an arithmetic number, because the mean of its divisors is an integer number (327427324770).

Almost surely, 24145014045152 is an apocalyptic number.

It is an amenable number.

4145014045152 is an abundant number, since it is smaller than the sum of its proper divisors (7642369646568).

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

4145014045152 is a wasteful number, since it uses less digits than its factorization.

4145014045152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14392409895 (or 14392409884 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 4145014045152 in words is "four trillion, one hundred forty-five billion, fourteen million, forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 14392409879 28784819758 43177229637 57569639516 86354459274 115139279032 129531688911 172708918548 230278558064 259063377822 345417837096 460557116128 518126755644 690835674192 1036253511288 1381671348384 2072507022576 4145014045152