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1434111305220 = 22325111938120981
BaseRepresentation
bin10100110111100111101…
…100011110011000000100
312002002200200102122100200
4110313213230132120010
5141444024443231340
63014453250210500
7205416420651336
oct24674754363004
95062620378320
101434111305220
11503226498830
121b1b34b83a30
13a530b991b49
144d5a8a9d456
1527487b98330
hex14de7b1e604

1434111305220 has 144 divisors (see below), whose sum is σ = 4995373481280. Its totient is φ = 329365267200.

The previous prime is 1434111305213. The next prime is 1434111305227. The reversal of 1434111305220 is 225031114341.

1434111305220 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 1 + 1 + 130 + 522 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1434111305213) and next prime (1434111305227).

It is not an unprimeable number, because it can be changed into a prime (1434111305227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19022871 + ... + 19098110.

It is an arithmetic number, because the mean of its divisors is an integer number (34690093620).

Almost surely, 21434111305220 is an apocalyptic number.

1434111305220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1434111305220 is an abundant number, since it is smaller than the sum of its proper divisors (3561262176060).

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

1434111305220 is a wasteful number, since it uses less digits than its factorization.

1434111305220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38121026 (or 38121021 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1434111305220 its reverse (225031114341), we get a palindrome (1659142419561).

The spelling of 1434111305220 in words is "one trillion, four hundred thirty-four billion, one hundred eleven million, three hundred five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 110 114 132 165 171 180 190 198 209 220 228 285 330 342 380 396 418 495 570 627 660 684 836 855 990 1045 1140 1254 1710 1881 1980 2090 2508 3135 3420 3762 4180 6270 7524 9405 12540 18810 37620 38120981 76241962 114362943 152483924 190604905 228725886 343088829 381209810 419330791 457451772 571814715 686177658 724298639 762419620 838661582 1143629430 1257992373 1372355316 1448597278 1677323164 1715444145 2096653955 2172895917 2287258860 2515984746 2897194556 3430888290 3621493195 3773977119 4193307910 4345791834 5031969492 6289961865 6518687751 6861776580 7242986390 7547954238 7967285029 8386615820 8691583668 10864479585 12579923730 13037375502 14485972780 15095908476 15934570058 18869885595 21728959170 23901855087 25159847460 26074751004 31869140116 32593438755 37739771190 39836425145 43457918340 47803710174 65186877510 71705565261 75479542380 79672850290 95607420348 119509275435 130373755020 143411130522 159345700580 239018550870 286822261044 358527826305 478037101740 717055652610 1434111305220