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20310303435440 = 24513117211126093
BaseRepresentation
bin1001001111000110111000…
…11010111110101010110000
32122220122102222010021200212
410213203130122332222300
510130231000134413230
6111110231413403252
74164241152504524
oct447433432765260
978818388107625
1020310303435440
116520607889937
122340333639528
13b4433a9314b5
1450304994bd84
152534b6d8e895
hex1278dc6beab0

20310303435440 has 80 divisors (see below), whose sum is σ = 47609614727136. Its totient is φ = 8057413478400.

The previous prime is 20310303435379. The next prime is 20310303435467. The reversal of 20310303435440 is 4453430301302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 20310303435397 and 20310303435406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17473034 + ... + 18599126.

Almost surely, 220310303435440 is an apocalyptic number.

20310303435440 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 20310303435440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23804807363568).

20310303435440 is an abundant number, since it is smaller than the sum of its proper divisors (27299311291696).

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

20310303435440 is a wasteful number, since it uses less digits than its factorization.

20310303435440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127958 (or 1127952 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 32.

Adding to 20310303435440 its reverse (4453430301302), we get a palindrome (24763733736742).

The spelling of 20310303435440 in words is "twenty trillion, three hundred ten billion, three hundred three million, four hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1310 1721 2096 2620 3442 5240 6884 8605 10480 13768 17210 27536 34420 68840 137680 225451 450902 901804 1126093 1127255 1803608 2252186 2254510 3607216 4504372 4509020 5630465 9008744 9018040 11260930 18017488 18036080 22521860 45043720 90087440 147518183 295036366 590072732 737590915 1180145464 1475181830 1938006053 2360290928 2950363660 3876012106 5900727320 7752024212 9690030265 11801454640 15504048424 19380060530 31008096848 38760121060 77520242120 155040484240 253878792943 507757585886 1015515171772 1269393964715 2031030343544 2538787929430 4062060687088 5077575858860 10155151717720 20310303435440