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1434457541700 = 2233521269741843
BaseRepresentation
bin10100110111111100010…
…101010000110001000100
312002010120210221021112000
4110313330111100301010
5142000232112313300
63014551455225300
7205431123632211
oct24677425206104
95063523837460
101434457541700
11503393982387
121b2010b18230
13a536562acc1
144d5dca6ab08
15274a828bc00
hex14dfc550c44

1434457541700 has 144 divisors (see below), whose sum is σ = 4611988772160. Its totient is φ = 382482743040.

The previous prime is 1434457541689. The next prime is 1434457541701. The reversal of 1434457541700 is 71457544341.

1434457541700 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 4 + 575 + 4 + 1 + 70 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1434457541701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34260979 + ... + 34302821.

Almost surely, 21434457541700 is an apocalyptic number.

1434457541700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1434457541700 is an abundant number, since it is smaller than the sum of its proper divisors (3177531230460).

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

1434457541700 is a wasteful number, since it uses less digits than its factorization.

1434457541700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54563 (or 54550 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 1434457541700 in words is "one trillion, four hundred thirty-four billion, four hundred fifty-seven million, five hundred forty-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 12697 25394 38091 41843 50788 63485 76182 83686 114273 125529 126970 152364 167372 190455 209215 228546 251058 253940 317425 342819 376587 380910 418430 457092 502116 571365 627645 634850 685638 753174 761820 836860 952275 1046075 1129761 1142730 1255290 1269700 1371276 1506348 1714095 1882935 1904550 2092150 2259522 2285460 2510580 2856825 3138225 3428190 3765870 3809100 4184300 4519044 5648805 5713650 6276450 6856380 7531740 8570475 9414675 11297610 11427300 12552900 17140950 18829350 22595220 28244025 34281900 37658700 56488050 112976100 531280571 1062561142 1593841713 2125122284 2656402855 3187683426 4781525139 5312805710 6375366852 7969208565 9563050278 10625611420 13282014275 14344575417 15938417130 19126100556 23907625695 26564028550 28689150834 31876834260 39846042825 47815251390 53128057100 57378301668 71722877085 79692085650 95630502780 119538128475 143445754170 159384171300 239076256950 286891508340 358614385425 478152513900 717228770850 1434457541700