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340414141444 = 2213101598110837
BaseRepresentation
bin1001111010000100100…
…00111001010000000100
31012112200001021010111121
410331002100321100010
521034132010011234
6420214544243324
733410531313526
oct4750220712004
91175601233447
10340414141444
111214069a99a3
1255b84010544
1326140934380
1412694715a16
158cc56ee4b4
hex4f42439404

340414141444 has 48 divisors (see below), whose sum is σ = 648069828336. Its totient is φ = 155518272000.

The previous prime is 340414141433. The next prime is 340414141489. The reversal of 340414141444 is 444141414043.

It can be written as a sum of positive squares in 8 ways, for example, as 43430560000 + 296983581444 = 208400^2 + 544962^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31406794 + ... + 31417630.

It is an arithmetic number, because the mean of its divisors is an integer number (13501454757).

Almost surely, 2340414141444 is an apocalyptic number.

It is an amenable number.

340414141444 is a deficient number, since it is larger than the sum of its proper divisors (307655686892).

340414141444 is a wasteful number, since it uses less digits than its factorization.

340414141444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16936 (or 16934 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 340414141444 its reverse (444141414043), we get a palindrome (784555555487).

The spelling of 340414141444 in words is "three hundred forty billion, four hundred fourteen million, one hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 4 13 26 52 101 202 404 1313 2626 5252 5981 10837 11962 21674 23924 43348 77753 140881 155506 281762 311012 563524 604081 1094537 1208162 2189074 2416324 4378148 7853053 14228981 15706106 28457962 31412212 56915924 64816097 129632194 259264388 842609261 1685218522 3370437044 6546425797 13092851594 26185703188 85103535361 170207070722 340414141444