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20453031034440 = 23357111172149141
BaseRepresentation
bin1001010011010000101111…
…01001100011111001001000
32200102021211220021112212020
410221220113221203321020
510140100301421100230
6111255554233244440
74210453114205514
oct451502751437110
980367756245766
1020453031034440
11657609989a524
122363b26863720
13b549356210a4
14509d09515144
1525706c298810
hex129a17a63e48

20453031034440 has 128 divisors (see below), whose sum is σ = 62279040395520. Its totient is φ = 5372506137600.

The previous prime is 20453031034363. The next prime is 20453031034537. The reversal of 20453031034440 is 4443013035402.

It is a super-3 number, since 3×204530310344403 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 8442270 + ... + 10591410.

It is an arithmetic number, because the mean of its divisors is an integer number (486555003090).

Almost surely, 220453031034440 is an apocalyptic number.

20453031034440 is a gapful number since it is divisible by the number (20) 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 20453031034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31139520197760).

20453031034440 is an abundant number, since it is smaller than the sum of its proper divisors (41826009361080).

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

20453031034440 is a wasteful number, since it uses less digits than its factorization.

20453031034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150343 (or 2150339 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 20453031034440 its reverse (4443013035402), we get a palindrome (24896044069842).

The spelling of 20453031034440 in words is "twenty trillion, four hundred fifty-three billion, thirty-one million, thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1117 1420 1704 2130 2234 2840 3351 4260 4468 5585 6702 8520 8936 11170 13404 16755 22340 26808 33510 44680 67020 79307 134040 158614 237921 317228 396535 475842 634456 793070 951684 1189605 1586140 1903368 2149141 2379210 3172280 4298282 4758420 6447423 8596564 9516840 10745705 12894846 17193128 21491410 25789692 32237115 42982820 51579384 64474230 85965640 128948460 152589011 257896920 305178022 457767033 610356044 762945055 915534066 1220712088 1525890110 1831068132 2288835165 2400590497 3051780220 3662136264 4577670330 4801180994 6103560440 7201771491 9155340660 9602361988 12002952485 14403542982 18310681320 19204723976 24005904970 28807085964 36008857455 48011809940 57614171928 72017714910 96023619880 144035429820 170441925287 288070859640 340883850574 511325775861 681767701148 852209626435 1022651551722 1363535402296 1704419252870 2045303103444 2556628879305 3408838505740 4090606206888 5113257758610 6817677011480 10226515517220 20453031034440