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342725736070776 = 2331719386311444801
BaseRepresentation
bin100110111101101010000110…
…1110000001111111001111000
31122221111021000211011200222010
41031323110031300033321320
5324410204301413231101
63212530010220125520
7132122055144052542
oct11573241560177170
91587437024150863
10342725736070776
119a226194196953
12325326636968a0
1311930b8a565706
14608c02aad6692
152995139c2d2d6
hex137b50dc0fe78

342725736070776 has 128 divisors (see below), whose sum is σ = 955210642444800. Its totient is φ = 101836379750400.

The previous prime is 342725736070747. The next prime is 342725736070787. The reversal of 342725736070776 is 677070637527243.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24223576 + ... + 35668376.

It is an arithmetic number, because the mean of its divisors is an integer number (7462583144100).

Almost surely, 2342725736070776 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 342725736070776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477605321222400).

342725736070776 is an abundant number, since it is smaller than the sum of its proper divisors (612484906374024).

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

342725736070776 is a wasteful number, since it uses less digits than its factorization.

342725736070776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11448709 (or 11448705 counting only the distinct ones).

The product of its (nonzero) digits is 435637440, while the sum is 66.

The spelling of 342725736070776 in words is "three hundred forty-two trillion, seven hundred twenty-five billion, seven hundred thirty-six million, seventy thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 408 456 646 969 1292 1938 2584 3863 3876 7726 7752 11589 15452 23178 30904 46356 65671 73397 92712 131342 146794 197013 220191 262684 293588 394026 440382 525368 587176 788052 880764 1247749 1576104 1761528 2495498 3743247 4990996 7486494 9981992 11444801 14972988 22889602 29945976 34334403 45779204 68668806 91558408 137337612 194561617 217451219 274675224 389123234 434902438 583684851 652353657 778246468 869804876 1167369702 1304707314 1556492936 1739609752 2334739404 2609414628 3696670723 4669478808 5218829256 7393341446 11090012169 14786682892 22180024338 29573365784 44211266263 44360048676 88422532526 88720097352 132633798789 176845065052 265267597578 353690130104 530535195156 751591526471 840014058997 1061070390312 1503183052942 1680028117994 2254774579413 2520042176991 3006366105884 3360056235988 4509549158826 5040084353982 6012732211768 6720112471976 9019098317652 10080168707964 14280239002949 18038196635304 20160337415928 28560478005898 42840717008847 57120956011796 85681434017694 114241912023592 171362868035388 342725736070776