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19029034440 = 23325134066033
BaseRepresentation
bin10001101110001110…
…000000010111001000
31211010011111002220100
4101232032000113020
5302432413100230
612424122125400
71242362060343
oct215616002710
954104432810
1019029034440
118085437249
123830950860
131a434950c0
14cc737545a
157658c2660
hex46e3805c8

19029034440 has 96 divisors (see below), whose sum is σ = 66601636920. Its totient is φ = 4684068864.

The previous prime is 19029034417. The next prime is 19029034457. The reversal of 19029034440 is 4443092091.

19029034440 is a `hidden beast` number, since 190 + 2 + 90 + 344 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15835202244 + 3193832196 = 125838^2 + 56514^2 .

It is a super-2 number, since 2×190290344402 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19029034395 and 19029034404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2028337 + ... + 2037696.

Almost surely, 219029034440 is an apocalyptic number.

19029034440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19029034440 is an abundant number, since it is smaller than the sum of its proper divisors (47572602480).

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

19029034440 is a wasteful number, since it uses less digits than its factorization.

19029034440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4066063 (or 4066056 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 19029034440 in words is "nineteen billion, twenty-nine million, thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 4066033 8132066 12198099 16264132 20330165 24396198 32528264 36594297 40660330 48792396 52858429 60990495 73188594 81320660 97584792 105716858 121980990 146377188 158575287 162641320 182971485 211433716 243961980 264292145 292754376 317150574 365942970 422867432 475725861 487923960 528584290 634301148 731885940 792876435 951451722 1057168580 1268602296 1463771880 1585752870 1902903444 2114337160 2378629305 3171505740 3805806888 4757258610 6343011480 9514517220 19029034440