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143860344817664 = 2112323313107727
BaseRepresentation
bin100000101101011100011000…
…110000000000100000000000
3200212100220200210001220200202
4200231130120300000200000
5122324001441233131124
61225544310253504332
742205365311604206
oct4055343060004000
9625326623056622
10143860344817664
1141924914244352
12141751224a20a8
136236c84207567
142774c40b1b076
15119720eb885ae
hex82d718c00800

143860344817664 has 96 divisors (see below), whose sum is σ = 301445236834560. Its totient is φ = 68507477508096.

The previous prime is 143860344817663. The next prime is 143860344817669. The reversal of 143860344817664 is 466718443068341.

It is a super-2 number, since 2×1438603448176642 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 143860344817664.

It is not an unprimeable number, because it can be changed into a prime (143860344817663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4421369 + ... + 17529095.

It is an arithmetic number, because the mean of its divisors is an integer number (3140054550360).

Almost surely, 2143860344817664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143860344817664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150722618417280).

143860344817664 is an abundant number, since it is smaller than the sum of its proper divisors (157584892016896).

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

143860344817664 is a wasteful number, since it uses less digits than its factorization.

143860344817664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13108005 (or 13107985 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 65.

The spelling of 143860344817664 in words is "one hundred forty-three trillion, eight hundred sixty billion, three hundred forty-four million, eight hundred seventeen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 233 256 368 466 512 736 932 1024 1472 1864 2048 2944 3728 5359 5888 7456 10718 11776 14912 21436 23552 29824 42872 47104 59648 85744 119296 171488 238592 342976 477184 685952 1371904 2743808 5487616 10975232 13107727 26215454 52430908 104861816 209723632 301477721 419447264 602955442 838894528 1205910884 1677789056 2411821768 3054100391 3355578112 4823643536 6108200782 6711156224 9647287072 12216401564 13422312448 19294574144 24432803128 26844624896 38589148288 48865606256 70244308993 77178296576 97731212512 140488617986 154356593152 195462425024 280977235972 308713186304 390924850048 561954471944 617426372608 781849700096 1123908943888 1563699400192 2247817887776 3127398800384 4495635775552 6254797600768 8991271551104 17982543102208 35965086204416 71930172408832 143860344817664