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79444301442 = 231143471015897
BaseRepresentation
bin100100111111100111…
…1111101011010000010
321121001121110122212220
41021333033331122002
52300200220121232
6100255103031510
75511463264122
oct1117717753202
9247047418786
1079444301442
1130768267580
121349189b596
137650c7a8bc
143bb9044c82
1520ee80242c
hex127f3fd682

79444301442 has 128 divisors (see below), whose sum is σ = 182962188288. Its totient is φ = 22782144000.

The previous prime is 79444301407. The next prime is 79444301549. The reversal of 79444301442 is 24410344497.

It is a super-2 number, since 2×794443014422 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 79444301394 and 79444301403.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13469038 + ... + 13474934.

It is an arithmetic number, because the mean of its divisors is an integer number (1429392096).

Almost surely, 279444301442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79444301442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91481094144).

79444301442 is an abundant number, since it is smaller than the sum of its proper divisors (103517886846).

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

79444301442 is a wasteful number, since it uses less digits than its factorization.

79444301442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6104.

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 79444301442 in words is "seventy-nine billion, four hundred forty-four million, three hundred one thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 43 47 66 86 94 101 129 141 202 258 282 303 473 517 606 946 1034 1111 1419 1551 2021 2222 2838 3102 3333 4042 4343 4747 5897 6063 6666 8686 9494 11794 12126 13029 14241 17691 22231 26058 28482 35382 44462 47773 52217 64867 66693 95546 104434 129734 133386 143319 156651 194601 204121 253571 277159 286638 313302 389202 408242 507142 554318 595597 612363 760713 831477 1191194 1224726 1521426 1662954 1786791 2245331 2789281 3048749 3573582 4490662 5578562 6097498 6551567 6735993 8367843 9146247 11917837 13103134 13471986 16735686 18292494 19654701 23835674 25610671 27993059 35753511 39309402 51221342 55986118 71507022 76832013 83979177 131096207 153664026 167958354 262192414 281717381 307923649 393288621 563434762 615847298 786577242 845152143 923770947 1203701537 1690304286 1847541894 2407403074 3611104611 7222209222 13240716907 26481433814 39722150721 79444301442