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303474505140 = 2232516352319777
BaseRepresentation
bin1000110101010000111…
…11010111010110110100
31002000022122211011202200
410122220133113112310
514433003433131030
6351225251504500
730632244506052
oct4325037272664
91060278734680
10303474505140
111077804a0454
124a994bb8130
132280490ca01
141098c7851d2
157d62731d60
hex46a87d75b4

303474505140 has 144 divisors (see below), whose sum is σ = 928004645568. Its totient is φ = 80272207872.

The previous prime is 303474505129. The next prime is 303474505141. The reversal of 303474505140 is 41505474303.

303474505140 is a `hidden beast` number, since 3 + 0 + 3 + 4 + 7 + 4 + 505 + 140 = 666.

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 = 303474505095 and 303474505104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303474505141) 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, 15334932 + ... + 15354708.

Almost surely, 2303474505140 is an apocalyptic number.

303474505140 is a gapful number since it is divisible by the number (30) 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 303474505140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464002322784).

303474505140 is an abundant number, since it is smaller than the sum of its proper divisors (624530140428).

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

303474505140 is a wasteful number, since it uses less digits than its factorization.

303474505140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20478 (or 20473 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 303474505140 its reverse (41505474303), we get a palindrome (344979979443).

The spelling of 303474505140 in words is "three hundred three billion, four hundred seventy-four million, five hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 163 180 326 489 523 652 815 978 1046 1467 1569 1630 1956 2092 2445 2615 2934 3138 3260 4707 4890 5230 5868 6276 7335 7845 9414 9780 10460 14670 15690 18828 19777 23535 29340 31380 39554 47070 59331 79108 85249 94140 98885 118662 170498 177993 197770 237324 255747 296655 340996 355986 395540 426245 511494 593310 711972 767241 852490 889965 1022988 1186620 1278735 1534482 1704980 1779930 2557470 3068964 3223651 3559860 3836205 5114940 6447302 7672410 9670953 10343371 12894604 15344820 16118255 19341906 20686742 29012859 31030113 32236510 38683812 41373484 48354765 51716855 58025718 62060226 64473020 93090339 96709530 103433710 116051436 124120452 145064295 155150565 186180678 193419060 206867420 290128590 310301130 372361356 465451695 580257180 620602260 930903390 1685969473 1861806780 3371938946 5057908419 6743877892 8429847365 10115816838 15173725257 16859694730 20231633676 25289542095 30347450514 33719389460 50579084190 60694901028 75868626285 101158168380 151737252570 303474505140