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4342342355104 = 251337972908421
BaseRepresentation
bin111111001100000111110…
…001100000100010100000
3120101010100022020020022111
4333030013301200202200
51032121104120330404
613122502230445104
7625503202005055
oct77140761404240
916333308206274
104342342355104
111424639066a76
125a16a9803794
13256634061520
14110255b8502c
1577e4aadc104
hex3f307c608a0

4342342355104 has 96 divisors (see below), whose sum is σ = 9552909831696. Its totient is φ = 1929887907840.

The previous prime is 4342342355089. The next prime is 4342342355107. The reversal of 4342342355104 is 4015532432434.

It can be written as a sum of positive squares in 8 ways, for example, as 1829927151504 + 2512415203600 = 1352748^2 + 1585060^2 .

It is not an unprimeable number, because it can be changed into a prime (4342342355107) 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, 38814 + ... + 2947234.

Almost surely, 24342342355104 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 4342342355104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776454915848).

4342342355104 is an abundant number, since it is smaller than the sum of its proper divisors (5210567476592).

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

4342342355104 is a wasteful number, since it uses less digits than its factorization.

4342342355104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908578 (or 2908570 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 4342342355104 its reverse (4015532432434), we get a palindrome (8357874787538).

The spelling of 4342342355104 in words is "four trillion, three hundred forty-two billion, three hundred forty-two million, three hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 97 104 148 194 208 296 388 416 481 592 776 962 1184 1261 1552 1924 2522 3104 3589 3848 5044 7178 7696 10088 14356 15392 20176 28712 40352 46657 57424 93314 114848 186628 373256 746512 1493024 2908421 5816842 11633684 23267368 37809473 46534736 75618946 93069472 107611577 151237892 215223154 282116837 302475784 430446308 564233674 604951568 860892616 1128467348 1209903136 1398950501 1721785232 2256934696 2797901002 3443570464 3667518881 4513869392 5595802004 7335037762 9027738784 10438322969 11191604008 14670075524 20876645938 22383208016 29340151048 41753291876 44766416032 58680302096 83506583752 117360604192 135698198597 167013167504 271396397194 334026335008 542792794388 1085585588776 2171171177552 4342342355104