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240313271141272 = 237171637341345181
BaseRepresentation
bin110110101001000001001011…
…001010010100001110011000
31011111212201120001110220222211
4312221001023022110032120
5222444243034403010042
62211034220453324504
7101422026612214660
oct6651011312241630
91144781501426884
10240313271141272
116a63131667256a
1222b523a4336734
13a4125a0c8c354
14434b31d9cb1a0
151cbb1765ca017
hexda904b294398

240313271141272 has 128 divisors (see below), whose sum is σ = 545753609331840. Its totient is φ = 96843343011840.

The previous prime is 240313271141269. The next prime is 240313271141297. The reversal of 240313271141272 is 272141172313042.

It is a super-2 number, since 2×2403132711412722 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5318878522 + ... + 5318923702.

It is an arithmetic number, because the mean of its divisors is an integer number (4263700072905).

Almost surely, 2240313271141272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240313271141272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272876804665920).

240313271141272 is an abundant number, since it is smaller than the sum of its proper divisors (305440338190568).

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

240313271141272 is a wasteful number, since it uses less digits than its factorization.

240313271141272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50261 (or 50257 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 240313271141272 in words is "two hundred forty trillion, three hundred thirteen billion, two hundred seventy-one million, one hundred forty-one thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 1637 3274 3413 6548 6826 11459 13096 13652 22918 23891 27304 27829 45181 45836 47782 55658 58021 90362 91672 95564 111316 116042 180724 191128 194803 222632 232084 316267 361448 389606 406147 464168 632534 768077 779212 812294 1265068 1536154 1558424 1624588 2530136 3072308 3249176 5376539 5587081 6144616 10753078 11174162 21506156 22348324 39109567 43012312 44696648 73961297 78219134 94980377 147922594 154202753 156438268 189960754 295845188 308405506 312876536 379921508 517729079 591690376 616811012 664862639 759843016 1035458158 1079419271 1233622024 1257342049 1329725278 2070916316 2158838542 2514684098 2621446801 2659450556 4141832632 4317677084 5029368196 5242893602 5318901112 8635354168 8801394343 10058736392 10485787204 17602788686 18350127607 20971574408 35205577372 36700255214 70411154744 73400510428 146801020856 252429906661 504859813322 1009719626644 1767009346627 2019439253288 3534018693254 4291308413237 7068037386508 8582616826474 14136074773016 17165233652948 30039158892659 34330467305896 60078317785318 120156635570636 240313271141272