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123000234453440 = 2657611798728081
BaseRepresentation
bin11011111101111000111001…
…010010000010100111000000
3121010111201002211012210001022
4123331320321102002213000
5112110213440010002230
61113333305545325012
734623321321233051
oct3375707122024700
9533451084183038
10123000234453440
1136212119815263
1211966329796768
135382b456b7c06
142253359156728
15e347b975c1e5
hex6fde394829c0

123000234453440 has 112 divisors (see below), whose sum is σ = 293305938806304. Its totient is φ = 49130960486400.

The previous prime is 123000234453431. The next prime is 123000234453451. The reversal of 123000234453440 is 44354432000321.

It is a self number, because there is not a number n which added to its sum of digits gives 123000234453440.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4380180200 + ... + 4380208280.

Almost surely, 2123000234453440 is an apocalyptic number.

123000234453440 is a gapful number since it is divisible by the number (10) 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 123000234453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146652969403152).

123000234453440 is an abundant number, since it is smaller than the sum of its proper divisors (170305704352864).

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

123000234453440 is a wasteful number, since it uses less digits than its factorization.

123000234453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46846 (or 46836 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 123000234453440 its reverse (44354432000321), we get a palindrome (167354666453761).

The spelling of 123000234453440 in words is "one hundred twenty-three trillion, two hundred thirty-four million, four hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 761 1522 3044 3805 6088 7610 12176 15220 17987 24352 28081 30440 35974 48704 56162 60880 71948 89935 112324 121760 140405 143896 179870 224648 243520 280810 287792 359740 449296 561620 575584 719480 898592 1123240 1151168 1438960 1797184 2246480 2877920 4492960 5755840 8985920 13688107 21369641 27376214 42739282 54752428 68440535 85478564 106848205 109504856 136881070 170957128 213696410 219009712 273762140 341914256 427392820 438019424 505092947 547524280 683828512 854785640 876038848 1010185894 1095048560 1367657024 1709571280 2020371788 2190097120 2525464735 3419142560 4040743576 4380194240 5050929470 6838285120 8081487152 10101858940 16162974304 20203717880 32325948608 40407435760 80814871520 161629743040 384375732667 768751465334 1537502930668 1921878663335 3075005861336 3843757326670 6150011722672 7687514653340 12300023445344 15375029306680 24600046890688 30750058613360 61500117226720 123000234453440