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400142301011310 = 2351113175486662567
BaseRepresentation
bin101101011111011010110001…
…1101101100001110101101110
31221110210020012221201111000010
41122332311203231201311232
5404421412413024330220
63535010500235314050
7150166220145364404
oct13276654355416556
91843706187644003
10400142301011310
11106552440261680
1238a66312bab926
1314237345a4a2b0
1470b4dc26c9474
15313d945d711e0
hex16bed63b61d6e

400142301011310 has 128 divisors (see below), whose sum is σ = 1194600067605504. Its totient is φ = 84275137013760.

The previous prime is 400142301011303. The next prime is 400142301011351. The reversal of 400142301011310 is 13110103241004.

It is a super-2 number, since 2×4001423010113102 (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 63 ways as a sum of consecutive naturals, for example, 2743258354 + ... + 2743404213.

It is an arithmetic number, because the mean of its divisors is an integer number (9332813028168).

Almost surely, 2400142301011310 is an apocalyptic number.

400142301011310 is an abundant number, since it is smaller than the sum of its proper divisors (794457766594194).

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

400142301011310 is a wasteful number, since it uses less digits than its factorization.

400142301011310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5486662618.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 400142301011310 its reverse (13110103241004), we get a palindrome (413252404252314).

The spelling of 400142301011310 in words is "four hundred trillion, one hundred forty-two billion, three hundred one million, eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 13 15 17 22 26 30 33 34 39 51 55 65 66 78 85 102 110 130 143 165 170 187 195 221 255 286 330 374 390 429 442 510 561 663 715 858 935 1105 1122 1326 1430 1870 2145 2210 2431 2805 3315 4290 4862 5610 6630 7293 12155 14586 24310 36465 72930 5486662567 10973325134 16459987701 27433312835 32919975402 54866625670 60353288237 71326613371 82299938505 93273263639 120706576474 142653226742 164599877010 181059864711 186546527278 213979840113 279819790917 301766441185 356633066855 362119729422 427959680226 466366318195 559639581834 603532882370 713266133710 784592747081 905299323555 932732636390 1026005900029 1069899200565 1212552427307 1399098954585 1569185494162 1810598647110 2052011800058 2139798401130 2353778241243 2425104854614 2798197909170 3078017700087 3637657281921 3922963735405 4707556482486 5130029500145 6062762136535 6156035400174 7275314563842 7845927470810 10260059000290 11768891206215 12125524273070 13338076700377 15390088500435 18188286409605 23537782412430 26676153400754 30780177000870 36376572819210 40014230101131 66690383501885 80028460202262 133380767003770 200071150505655 400142301011310