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40155341226 = 237111311359167
BaseRepresentation
bin100101011001011100…
…011110000110101010
310211122111100200121020
4211121130132012222
51124214231404401
630240324153310
72621041524450
oct453134360652
9124574320536
1040155341226
1116036709220
127947b38836
133a2c301650
141d2d0869d0
1510a046dd36
hex95971e1aa

40155341226 has 128 divisors (see below), whose sum is σ = 108785811456. Its totient is φ = 9542292480.

The previous prime is 40155341137. The next prime is 40155341243. The reversal of 40155341226 is 62214355104.

40155341226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401553412262 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 649095 + ... + 708261.

It is an arithmetic number, because the mean of its divisors is an integer number (849889152).

Almost surely, 240155341226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40155341226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54392905728).

40155341226 is an abundant number, since it is smaller than the sum of its proper divisors (68630470230).

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

40155341226 is a wasteful number, since it uses less digits than its factorization.

40155341226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59316.

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 40155341226 in words is "forty billion, one hundred fifty-five million, three hundred forty-one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 113 143 154 182 226 231 273 286 339 429 462 546 678 791 858 1001 1243 1469 1582 2002 2373 2486 2938 3003 3729 4407 4746 6006 7458 8701 8814 10283 16159 17402 20566 26103 30849 32318 48477 52206 59167 61698 96954 113113 118334 177501 226226 339339 355002 414169 650837 678678 769171 828338 1242507 1301674 1538342 1952511 2307513 2485014 3905022 4555859 4615026 5384197 6685871 8460881 9111718 10768394 13371742 13667577 16152591 16921762 20057613 25382643 27335154 32305182 40115226 46801097 50765286 59226167 73544581 86916323 93602194 118452334 140403291 147089162 173832646 177678501 220633743 260748969 280806582 355357002 441267486 514812067 521497938 608414261 956079553 1029624134 1216828522 1544436201 1825242783 1912159106 2868238659 3088872402 3650485566 5736477318 6692556871 13385113742 20077670613 40155341226