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1342435025140 = 22511233110391613
BaseRepresentation
bin10011100010001111010…
…111001110000011110100
311202100001121100002020221
4103202033113032003310
5133443301331301030
62504412305304124
7165662535304006
oct23421727160364
94670047302227
101342435025140
11478361635700
1219820a935044
139978b7a9981
1448d8d2d2376
1524dbe5a0e7a
hex1388f5ce0f4

1342435025140 has 144 divisors (see below), whose sum is σ = 3112976805120. Its totient is φ = 485913542400.

The previous prime is 1342435025137. The next prime is 1342435025161. The reversal of 1342435025140 is 415205342431.

It is a junction number, because it is equal to n+sod(n) for n = 1342435025096 and 1342435025105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 832258974 + ... + 832260586.

It is an arithmetic number, because the mean of its divisors is an integer number (21617894480).

Almost surely, 21342435025140 is an apocalyptic number.

1342435025140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342435025140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556488402560).

1342435025140 is an abundant number, since it is smaller than the sum of its proper divisors (1770541779980).

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

1342435025140 is a wasteful number, since it uses less digits than its factorization.

1342435025140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 1342435025140 in words is "one trillion, three hundred forty-two billion, four hundred thirty-five million, twenty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 331 484 605 662 1039 1210 1324 1613 1655 2078 2420 3226 3310 3641 4156 5195 6452 6620 7282 8065 10390 11429 14564 16130 17743 18205 20780 22858 32260 35486 36410 40051 45716 57145 70972 72820 80102 88715 114290 125719 160204 177430 195173 200255 228580 251438 343909 354860 390346 400510 502876 533903 628595 687818 780692 801020 975865 1067806 1257190 1375636 1675907 1719545 1951730 2135612 2514380 2669515 3351814 3439090 3782999 3903460 5339030 5872933 6703628 6878180 7565998 8379535 10678060 11745866 15131996 16759070 18434977 18914995 23491732 29364665 33518140 36869954 37829990 41612989 58729330 64602263 73739908 75659980 83225978 92174885 117458660 129204526 166451956 184349770 202784747 208064945 258409052 323011315 368699540 405569494 416129890 554725217 646022630 811138988 832259780 1013923735 1109450434 1292045260 2027847470 2218900868 2773626085 4055694940 5547252170 6101977387 11094504340 12203954774 24407909548 30509886935 61019773870 67121751257 122039547740 134243502514 268487005028 335608756285 671217512570 1342435025140