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4243312332144 = 2432231498598613
BaseRepresentation
bin111101101111111001000…
…111111100110101110000
3120000122201201202211102100
4331233321013330311300
51024010300424112034
613005203433420400
7615366143465004
oct75577107746560
916018651684370
104243312332144
111396640208a96
1258647086a700
1324a1b14a96c2
1410953d898704
15755a1b03099
hex3dbf91fcd70

4243312332144 has 120 divisors (see below), whose sum is σ = 12474869191200. Its totient is φ = 1343859872256.

The previous prime is 4243312332137. The next prime is 4243312332169. The reversal of 4243312332144 is 4412332133424.

4243312332144 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 312 + 332 + 1 + 4 + 4 = 666.

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 junction number, because it is equal to n+sod(n) for n = 4243312332099 and 4243312332108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3805819 + ... + 4792794.

It is an arithmetic number, because the mean of its divisors is an integer number (103957243260).

Almost surely, 24243312332144 is an apocalyptic number.

It is an amenable number.

4243312332144 is an abundant number, since it is smaller than the sum of its proper divisors (8231556859056).

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

4243312332144 is a wasteful number, since it uses less digits than its factorization.

4243312332144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8598799 (or 8598790 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 4243312332144 its reverse (4412332133424), we get a palindrome (8655644465568).

The spelling of 4243312332144 in words is "four trillion, two hundred forty-three billion, three hundred twelve million, three hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 149 184 207 276 298 368 414 447 552 596 828 894 1104 1192 1341 1656 1788 2384 2682 3312 3427 3576 5364 6854 7152 10281 10728 13708 20562 21456 27416 30843 41124 54832 61686 82248 123372 164496 246744 493488 8598613 17197226 25795839 34394452 51591678 68788904 77387517 103183356 137577808 154775034 197768099 206366712 309550068 395536198 412733424 593304297 619100136 791072396 1186608594 1238200272 1281193337 1582144792 1779912891 2373217188 2562386674 3164289584 3559825782 3843580011 4746434376 5124773348 7119651564 7687160022 9492868752 10249546696 11530740033 14239303128 15374320044 20499093392 23061480066 28478606256 29467446751 30748640088 46122960132 58934893502 61497280176 88402340253 92245920264 117869787004 176804680506 184491840528 235739574008 265207020759 353609361012 471479148016 530414041518 707218722024 1060828083036 1414437444048 2121656166072 4243312332144