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4023232344144 = 2432134015153527
BaseRepresentation
bin111010100010111011010…
…101011011000001010000
3112020121122222110001202200
4322202323111123001100
51011404034440003034
612320125235443200
7563445306450636
oct72427325330120
915217588401680
104023232344144
111311274855692
1254b890456500
1323250a057b30
14dca22a2d356
156e9c08b2a99
hex3a8bb55b050

4023232344144 has 120 divisors (see below), whose sum is σ = 12126103796352. Its totient is φ = 1237863686400.

The previous prime is 4023232344127. The next prime is 4023232344169. The reversal of 4023232344144 is 4414432323204.

4023232344144 is a `hidden beast` number, since 4 + 0 + 2 + 3 + 2 + 3 + 234 + 414 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4023232344099 and 4023232344108.

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, 75135909 + ... + 75189435.

Almost surely, 24023232344144 is an apocalyptic number.

It is an amenable number.

4023232344144 is an abundant number, since it is smaller than the sum of its proper divisors (8102871452208).

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

4023232344144 is a wasteful number, since it uses less digits than its factorization.

4023232344144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93705 (or 93696 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 4023232344144 its reverse (4414432323204), we get a palindrome (8437664667348).

The spelling of 4023232344144 in words is "four trillion, twenty-three billion, two hundred thirty-two million, three hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 40151 53527 80302 107054 120453 160581 160604 214108 240906 321162 321208 361359 428216 481743 481812 521963 642324 642416 695851 722718 856432 963486 963624 1043926 1284648 1391702 1445436 1565889 1926972 1927248 2087553 2087852 2569296 2783404 2890872 3131778 3853944 4175106 4175704 4697667 5566808 5781744 6262659 6263556 7707888 8350212 8351408 9395334 11133616 12525318 12527112 16700424 18790668 25050636 25054224 33400848 37581336 50101272 75162672 100202544 2149162577 4298325154 6447487731 8596650308 12894975462 17193300616 19342463193 25789950924 27939113501 34386601232 38684926386 51579901848 55878227002 77369852772 83817340503 103159803696 111756454004 154739705544 167634681006 223512908008 251452021509 309479411088 335269362012 447025816016 502904043018 670538724024 1005808086036 1341077448048 2011616172072 4023232344144