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40246134272 = 295383107167
BaseRepresentation
bin100101011110110110…
…110100011000000000
310211212211012110020122
4211132312310120000
51124411002244042
630253330155412
72623223332301
oct453666643000
9124784173218
1040246134272
11160829913a3
127972422b68
133a45070546
141d3b15c7a8
1510a84057d2
hex95edb4600

40246134272 has 160 divisors (see below), whose sum is σ = 84194111232. Its totient is φ = 19207512064.

The previous prime is 40246134251. The next prime is 40246134287. The reversal of 40246134272 is 27243164204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240994733 + ... + 240994899.

Almost surely, 240246134272 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 40246134272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42097055616).

40246134272 is an abundant number, since it is smaller than the sum of its proper divisors (43947976960).

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

40246134272 is a wasteful number, since it uses less digits than its factorization.

40246134272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 35.

Adding to 40246134272 its reverse (27243164204), we get a palindrome (67489298476).

The spelling of 40246134272 in words is "forty billion, two hundred forty-six million, one hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 53 64 83 106 107 128 166 167 212 214 256 332 334 424 428 512 664 668 848 856 1328 1336 1696 1712 2656 2672 3392 3424 4399 5312 5344 5671 6784 6848 8798 8851 8881 10624 10688 11342 13568 13696 13861 17596 17702 17762 17869 21248 21376 22684 27136 27392 27722 35192 35404 35524 35738 42496 42752 45368 54784 55444 70384 70808 71048 71476 85504 90736 110888 140768 141616 142096 142952 181472 221776 281536 283232 284192 285904 362944 443552 470693 563072 566464 568384 571808 725888 734633 887104 941386 947057 1126144 1132928 1136768 1143616 1451776 1469266 1483127 1774208 1882772 1894114 2252288 2265856 2273536 2287232 2903552 2938532 2966254 3548416 3765544 3788228 4531712 4547072 4574464 5877064 5932508 7096832 7531088 7576456 9148928 11754128 11865016 15062176 15152912 23508256 23730032 30124352 30305824 47016512 47460064 60248704 60611648 78605731 94033024 94920128 120497408 121223296 157211462 188066048 189840256 240994816 242446592 314422924 376132096 379680512 484893184 628845848 759361024 1257691696 2515383392 5030766784 10061533568 20123067136 40246134272