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350444112055401 = 371324231086148779
BaseRepresentation
bin100111110101110100010000…
…0110100000000110001101001
31200221211010111201021211001110
41033223220200310000301221
5331413134020141233101
63241155445204140533
7133546515534331560
oct11753504064006151
91627733451254043
10350444112055401
11a1731571218041
123337a500097749
1312070979411b50
14627782a972bd7
152a7acc78aacd6
hex13eba20d00c69

350444112055401 has 64 divisors (see below), whose sum is σ = 575389886238720. Its totient is φ = 184752551773440.

The previous prime is 350444112055351. The next prime is 350444112055423. The reversal of 350444112055401 is 104550211444053.

It is not a de Polignac number, because 350444112055401 - 213 = 350444112047209 is a prime.

It is a super-2 number, since 2×3504441120554012 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 350444112055401.

It is not an unprimeable number, because it can be changed into a prime (350444112055601) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7184299030 + ... + 7184347808.

It is an arithmetic number, because the mean of its divisors is an integer number (8990466972480).

Almost surely, 2350444112055401 is an apocalyptic number.

It is an amenable number.

350444112055401 is a deficient number, since it is larger than the sum of its proper divisors (224945774183319).

350444112055401 is a wasteful number, since it uses less digits than its factorization.

350444112055401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62086.

The product of its (nonzero) digits is 192000, while the sum is 39.

Adding to 350444112055401 its reverse (104550211444053), we get a palindrome (454994323499454).

The spelling of 350444112055401 in words is "three hundred fifty trillion, four hundred forty-four billion, one hundred twelve million, fifty-five thousand, four hundred one".

Divisors: 1 3 7 13 21 39 91 273 2423 7269 10861 16961 31499 32583 48779 50883 76027 94497 141193 146337 220493 228081 341453 423579 634127 661479 988351 1024359 1902381 2965053 4438889 13316667 26316203 78948609 118191517 184213421 342110639 354574551 529788719 552640263 827340619 1026331917 1536489721 1589366157 2394774473 2482021857 3708521033 4609469163 6887253347 7184323419 10755428047 11125563099 20661760041 32266284141 48210773429 144632320287 1283678066137 3851034198411 8985746462959 16687814859781 26957239388877 50063444579343 116814704018467 350444112055401