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1434535356020 = 2251341274948953
BaseRepresentation
bin10100111000000000111…
…110000110011001110100
312002010210020100122200212
4110320000332012121310
5142000412022343040
63015003315124552
7205433060223134
oct24700076063164
95063706318625
101434535356020
115034238a0438
121b2032ba3758
13a53787a4590
144d609124ac4
15274b000cd65
hex14e00f86674

1434535356020 has 96 divisors (see below), whose sum is σ = 3324661956000. Its totient is φ = 516557168640.

The previous prime is 1434535355899. The next prime is 1434535356083. The reversal of 1434535356020 is 206535354341.

It can be written as a sum of positive squares in 16 ways, for example, as 1220079303184 + 214456052836 = 1104572^2 + 463094^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

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, 29279864 + ... + 29328816.

It is an arithmetic number, because the mean of its divisors is an integer number (34631895375).

Almost surely, 21434535356020 is an apocalyptic number.

1434535356020 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 1434535356020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662330978000).

1434535356020 is an abundant number, since it is smaller than the sum of its proper divisors (1890126599980).

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

1434535356020 is a wasteful number, since it uses less digits than its factorization.

1434535356020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51765 (or 51763 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 41.

The spelling of 1434535356020 in words is "one trillion, four hundred thirty-four billion, five hundred thirty-five million, three hundred fifty-six thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1066 2132 2665 2749 5330 5498 10660 10996 13745 27490 35737 48953 54980 71474 97906 112709 142948 178685 195812 225418 244765 357370 450836 489530 563545 636389 714740 979060 1127090 1272778 1465217 2007073 2254180 2545556 2930434 3181945 4014146 5860868 6363890 7326085 8028292 10035365 12727780 14652170 20070730 26091949 29304340 40141460 52183898 104367796 130459745 134571797 260919490 269143594 521838980 538287188 672858985 1345717970 1749433361 2691435940 3498866722 5517443677 6997733444 8747166805 11034887354 17494333610 22069774708 27587218385 34988667220 55174436770 71726767801 110348873540 143453535602 286907071204 358633839005 717267678010 1434535356020