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4001134043310 = 2357111339294231
BaseRepresentation
bin111010001110010110001…
…011000110000010101110
3112011111121220121001220020
4322032112023012002232
51011023310303341220
612302032352303010
7562033555134615
oct72162613060256
915144556531806
104001134043310
111302964949148
12547543841a66
132303c7a38891
14db927bc087c
156e12a818040
hex3a3962c60ae

4001134043310 has 128 divisors (see below), whose sum is σ = 9828970997760. Its totient is φ = 1042120396800.

The previous prime is 4001134043303. The next prime is 4001134043341. The reversal of 4001134043310 is 133404311004.

It is a super-2 number, since 2×40011340433102 (a number of 26 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 63 ways as a sum of consecutive naturals, for example, 945668895 + ... + 945673125.

It is an arithmetic number, because the mean of its divisors is an integer number (76788835920).

Almost surely, 24001134043310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4001134043310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914485498880).

4001134043310 is an abundant number, since it is smaller than the sum of its proper divisors (5827836954450).

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

4001134043310 is a wasteful number, since it uses less digits than its factorization.

4001134043310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8354.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 4001134043310 its reverse (133404311004), we get a palindrome (4134538354314).

The spelling of 4001134043310 in words is "four trillion, one billion, one hundred thirty-four million, forty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 71 113 142 213 226 339 355 426 565 678 710 1065 1130 1695 2130 3390 3929 4231 7858 8023 8462 11787 12693 16046 19645 21155 23574 24069 25386 39290 40115 42310 48138 58935 63465 80230 117870 120345 126930 240690 278959 300401 443977 478103 557918 600802 836877 887954 901203 956206 1331931 1394795 1434309 1502005 1673754 1802406 2219885 2390515 2663862 2789590 2868618 3004010 4184385 4439770 4506015 4781030 6659655 7171545 8368770 9012030 13319310 14343090 16623599 31522367 33247198 33945313 49870797 63044734 67890626 83117995 94567101 99741594 101835939 157611835 166235990 169726565 189134202 203671878 249353985 315223670 339453130 472835505 498707970 509179695 945671010 1018359390 1180275529 1878466687 2360551058 3540826587 3756933374 5635400061 5901377645 7081653174 9392333435 11270800122 11802755290 17704132935 18784666870 28177000305 35408265870 56354000610 133371134777 266742269554 400113404331 666855673885 800226808662 1333711347770 2000567021655 4001134043310