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122434043440 = 2452390773363
BaseRepresentation
bin111001000000110100…
…0110011111000110000
3102201000122020211101111
41302001220303320300
54001221103342230
6132125002243104
711563013124652
oct1620150637060
9381018224344
10122434043440
1147a18909a75
121b88aab6494
13b712562567
145cd67086d2
1532b8a0392a
hex1c81a33e30

122434043440 has 80 divisors (see below), whose sum is σ = 297367181568. Its totient is φ = 46792044288.

The previous prime is 122434043429. The next prime is 122434043441. The reversal of 122434043440 is 44340434221.

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

It is not an unprimeable number, because it can be changed into a prime (122434043441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1632199 + ... + 1705561.

Almost surely, 2122434043440 is an apocalyptic number.

122434043440 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 122434043440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148683590784).

122434043440 is an abundant number, since it is smaller than the sum of its proper divisors (174933138128).

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

122434043440 is a wasteful number, since it uses less digits than its factorization.

122434043440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74306 (or 74300 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 122434043440 its reverse (44340434221), we get a palindrome (166774477661).

The spelling of 122434043440 in words is "one hundred twenty-two billion, four hundred thirty-four million, forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 907 920 1814 1840 3628 4535 7256 9070 14512 18140 20861 36280 41722 72560 73363 83444 104305 146726 166888 208610 293452 333776 366815 417220 586904 733630 834440 1173808 1467260 1668880 1687349 2934520 3374698 5869040 6749396 8436745 13498792 16873490 26997584 33746980 66540241 67493960 133080482 134987920 266160964 332701205 532321928 665402410 1064643856 1330804820 1530425543 2661609640 3060851086 5323219280 6121702172 7652127715 12243404344 15304255430 24486808688 30608510860 61217021720 122434043440