Search a number
-
+
144133443442120 = 235111917240842517
BaseRepresentation
bin100000110001011010101110…
…101100100101010111001000
3200220100000121111022110201111
4200301122232230211113020
5122342440243010121440
61230313553445100104
742234204043606336
oct4061325654452710
9626300544273644
10144133443442120
1141a1a7172a9a80
12141ba03a6b7634
136256957906c72
14278414b170b56
15119e3957944ea
hex8316aeb255c8

144133443442120 has 64 divisors (see below), whose sum is σ = 372402198388800. Its totient is φ = 49653626446080.

The previous prime is 144133443442117. The next prime is 144133443442123. The reversal of 144133443442120 is 21244344331441.

It is an interprime number because it is at equal distance from previous prime (144133443442117) and next prime (144133443442123).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (144133443442123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8620412899 + ... + 8620429618.

It is an arithmetic number, because the mean of its divisors is an integer number (5818784349825).

Almost surely, 2144133443442120 is an apocalyptic number.

144133443442120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144133443442120 is an abundant number, since it is smaller than the sum of its proper divisors (228268754946680).

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

144133443442120 is a wasteful number, since it uses less digits than its factorization.

144133443442120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17240842558 (or 17240842554 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 40.

Adding to 144133443442120 its reverse (21244344331441), we get a palindrome (165377787773561).

The spelling of 144133443442120 in words is "one hundred forty-four trillion, one hundred thirty-three billion, four hundred forty-three million, four hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 17240842517 34481685034 68963370068 86204212585 137926740136 172408425170 189649267687 327576007823 344816850340 379298535374 655152015646 689633700680 758597070748 948246338435 1310304031292 1517194141496 1637880039115 1896492676870 2620608062584 3275760078230 3603336086053 3792985353740 6551520156460 7206672172106 7585970707480 13103040312920 14413344344212 18016680430265 28826688688424 36033360860530 72066721721060 144133443442120