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940345241796 = 223417231692
BaseRepresentation
bin11011010111100001111…
…00011011000011000100
310022220012021110201110000
431223300330123003010
5110401311340214141
61555553314001300
7124636426450122
oct15536074330304
93286167421400
10940345241796
11332886413134
121322b3876230
136a89c219b4c
1433727782912
15196d94ac5b6
hexdaf0f1b0c4

940345241796 has 135 divisors (see below), whose sum is σ = 2612181386199. Its totient is φ = 294917179392.

The previous prime is 940345241783. The next prime is 940345241863. The reversal of 940345241796 is 697142543049.

The square root of 940345241796 is 969714.

It is a perfect power (a square), and thus also a powerful number.

940345241796 is a `hidden beast` number, since 9 + 40 + 3 + 4 + 524 + 1 + 79 + 6 = 666.

940345241796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 345497084100 + 594848157696 = 587790^2 + 771264^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 296730900 + ... + 296734068.

Almost surely, 2940345241796 is an apocalyptic number.

940345241796 is the 969714-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 940345241796

940345241796 is an abundant number, since it is smaller than the sum of its proper divisors (1671836144403).

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

940345241796 is an equidigital number, since it uses as much as digits as its factorization.

940345241796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6388 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 940345241796 in words is "nine hundred forty billion, three hundred forty-five million, two hundred forty-one thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 289 306 324 459 578 612 867 918 1156 1377 1734 1836 2601 2754 3169 3468 5202 5508 6338 7803 9507 10404 12676 15606 19014 23409 28521 31212 38028 46818 53873 57042 85563 93636 107746 114084 161619 171126 215492 256689 323238 342252 484857 513378 646476 915841 969714 1026756 1454571 1831682 1939428 2747523 2909142 3663364 4363713 5495046 5818284 8242569 8727426 10042561 10990092 16485138 17454852 20085122 24727707 30127683 32970276 40170244 49455414 60255366 74183121 90383049 98910828 120510732 148366242 170723537 180766098 271149147 296732484 341447074 361532196 512170611 542298294 682894148 813447441 1024341222 1084596588 1536511833 1626894882 2048682444 2902300129 3073023666 3253789764 4609535499 5804600258 6146047332 8706900387 9219070998 11609200516 13828606497 17413800774 18438141996 26120701161 27657212994 34827601548 52241402322 55314425988 78362103483 104482804644 156724206966 235086310449 313448413932 470172620898 940345241796