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344122231443432 = 233137938813597389
BaseRepresentation
bin100111000111110100011001…
…1010111010100111111101000
31200010102202121222120222112020
41032033220303113110333220
5330101044312222142212
63215515323134344440
7132325003456631301
oct11617506327247750
91603382558528466
10344122231443432
119a714467446802
123271923b05b120
1311a027830729a0
1460d9867a9b7a8
1529bb620369d8c
hex138fa335d4fe8

344122231443432 has 128 divisors (see below), whose sum is σ = 938452568256000. Its totient is φ = 104516496414720.

The previous prime is 344122231443407. The next prime is 344122231443449. The reversal of 344122231443432 is 234344132221443.

It is a super-2 number, since 2×3441222314434322 (a number of 30 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93860194 + ... + 97457582.

It is an arithmetic number, because the mean of its divisors is an integer number (7331660689500).

Almost surely, 2344122231443432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344122231443432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469226284128000).

344122231443432 is an abundant number, since it is smaller than the sum of its proper divisors (594330336812568).

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

344122231443432 is a wasteful number, since it uses less digits than its factorization.

344122231443432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3601371 (or 3601367 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

Adding to 344122231443432 its reverse (234344132221443), we get a palindrome (578466363664875).

The spelling of 344122231443432 in words is "three hundred forty-four trillion, one hundred twenty-two billion, two hundred thirty-one million, four hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 79 104 156 158 237 312 316 474 632 948 1027 1896 2054 3081 3881 4108 6162 7762 8216 11643 12324 15524 23286 24648 31048 46572 50453 93144 100906 151359 201812 302718 306599 403624 605436 613198 919797 1210872 1226396 1839594 2452792 3597389 3679188 3985787 7194778 7358376 7971574 10792167 11957361 14389556 15943148 21584334 23914722 28779112 31886296 43168668 46766057 47829444 86337336 93532114 95658888 140298171 187064228 280596342 284193731 374128456 561192684 568387462 852581193 1122385368 1136774924 1705162386 2273549848 3410324772 3694518503 6820649544 7389037006 11083555509 13961466709 14778074012 22167111018 27922933418 29556148024 41884400127 44334222036 55845866836 83768800254 88668444072 111691733672 167537600508 181499067217 335075201016 362998134434 544497201651 725996268868 1088994403302 1102955870011 1451992537736 2177988806604 2205911740022 3308867610033 4355977613208 4411823480044 6617735220066 8823646960088 13235470440132 14338426310143 26470940880264 28676852620286 43015278930429 57353705240572 86030557860858 114707410481144 172061115721716 344122231443432