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146042624302311 = 31123954134227133
BaseRepresentation
bin100001001101001100110010…
…101111100101110011100111
3201011002112112120220222222210
4201031030302233211303213
5123120230243310133221
61234335015544454503
742522142242300222
oct4115146257456347
9634075476828883
10146042624302311
1142596369105920
121446805747a433
1363649b6724449
14280c7020145b9
1511d3d8553c276
hex84d332be5ce7

146042624302311 has 32 divisors (see below), whose sum is σ = 213708748354560. Its totient is φ = 87977420092800.

The previous prime is 146042624302307. The next prime is 146042624302433. The reversal of 146042624302311 is 113203426240641.

It is not a de Polignac number, because 146042624302311 - 22 = 146042624302307 is a prime.

It is a super-2 number, since 2×1460426243023112 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 146042624302311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146042624302301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12846700 + ... + 21380433.

It is an arithmetic number, because the mean of its divisors is an integer number (6678398386080).

Almost surely, 2146042624302311 is an apocalyptic number.

146042624302311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

146042624302311 is a deficient number, since it is larger than the sum of its proper divisors (67666124052249).

146042624302311 is a wasteful number, since it uses less digits than its factorization.

146042624302311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34227927.

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 146042624302311 in words is "one hundred forty-six trillion, forty-two billion, six hundred twenty-four million, three hundred two thousand, three hundred eleven".

Divisors: 1 3 11 33 239 541 717 1623 2629 5951 7887 17853 129299 387897 1422289 4266867 34227133 102681399 376498463 1129495389 8180284787 18516878953 24540854361 55550636859 89983132657 203685668483 269949397971 611057005449 4425534069767 13276602209301 48680874767437 146042624302311