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232400121102440 = 23537271966078741
BaseRepresentation
bin110100110101110111011110…
…101010100000000001101000
31010110212020100000121200022222
4310311313132222200001220
5220430120422000234230
62142135050341333212
766644232435535334
oct6465673652400150
91113766300550288
10232400121102440
1168060379781645
122209484a407208
139c8a3116c2475
144156323b487c4
151bd03d91b16e5
hexd35ddeaa0068

232400121102440 has 128 divisors (see below), whose sum is σ = 537373005926400. Its totient is φ = 90390322897920.

The previous prime is 232400121102367. The next prime is 232400121102467. The reversal of 232400121102440 is 44201121004232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26587356470 + ... + 26587365210.

It is an arithmetic number, because the mean of its divisors is an integer number (4198226608800).

Almost surely, 2232400121102440 is an apocalyptic number.

232400121102440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232400121102440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268686502963200).

232400121102440 is an abundant number, since it is smaller than the sum of its proper divisors (304972884823960).

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

232400121102440 is a wasteful number, since it uses less digits than its factorization.

232400121102440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18115 (or 18111 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 232400121102440 its reverse (44201121004232), we get a palindrome (276601242106672).

The spelling of 232400121102440 in words is "two hundred thirty-two trillion, four hundred billion, one hundred twenty-one million, one hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 2719 5438 6607 8741 10876 13214 13595 17482 21752 26428 27190 33035 34964 43705 52856 54380 66070 69928 87410 100603 108760 132140 174820 201206 244459 264280 323417 349640 402412 488918 503015 646834 804824 977836 1006030 1222295 1293668 1617085 1955672 2012060 2444590 2587336 3234170 4024120 4889180 6468340 9778360 12936680 17964433 23766779 35928866 47533558 57751787 71857732 89822165 95067116 115503574 118833895 143715464 179644330 190134232 231007148 237667790 288758935 359288660 462014296 475335580 577517870 664684021 718577320 879370823 950671160 1155035740 1329368042 1758741646 2136816119 2310071480 2658736084 3323420105 3517483292 4273632238 4396854115 5317472168 6646840210 7034966584 8547264476 8793708230 10684080595 13293680420 17094528952 17587416460 21368161190 26587360840 35174832920 42736322380 85472644760 157027108853 314054217706 628108435412 785135544265 1256216870824 1570271088530 3140542177060 5810003027561 6281084354120 11620006055122 23240012110244 29050015137805 46480024220488 58100030275610 116200060551220 232400121102440