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42203513344 = 2941103131149
BaseRepresentation
bin100111010011100001…
…101000001000000000
311000221020100121112211
4213103201220020000
51142413044411334
631215451431504
73022561641646
oct472341501000
9130836317484
1042203513344
1116997868253
128219a55594
133c97744105
1420850c1196
151170199a64
hex9d3868200

42203513344 has 160 divisors (see below), whose sum is σ = 88475587200. Its totient is φ = 20095795200.

The previous prime is 42203513323. The next prime is 42203513369. The reversal of 42203513344 is 44331530224.

It is a happy number.

It is a super-2 number, since 2×422035133442 (a number of 22 digits) contains 22 as substring.

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, 283244982 + ... + 283245130.

It is an arithmetic number, because the mean of its divisors is an integer number (552972420).

Almost surely, 242203513344 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 42203513344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44237793600).

42203513344 is an abundant number, since it is smaller than the sum of its proper divisors (46272073856).

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

42203513344 is a wasteful number, since it uses less digits than its factorization.

42203513344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

The spelling of 42203513344 in words is "forty-two billion, two hundred three million, five hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 41 64 82 103 128 131 149 164 206 256 262 298 328 412 512 524 596 656 824 1048 1192 1312 1648 2096 2384 2624 3296 4192 4223 4768 5248 5371 6109 6592 8384 8446 9536 10496 10742 12218 13184 13493 15347 16768 16892 19072 19519 20992 21484 24436 26368 26986 30694 33536 33784 38144 39038 42968 48872 52736 53972 61388 67072 67568 76288 78076 85936 97744 107944 122776 135136 156152 171872 195488 215888 245552 270272 312304 343744 390976 431776 491104 540544 553213 624608 629227 687488 781952 800279 863552 982208 1081088 1106426 1249216 1258454 1374976 1563904 1600558 1727104 1964416 2010457 2162176 2212852 2498432 2516908 2749952 3127808 3201116 3454208 3928832 4020914 4425704 4996864 5033816 6402232 6908416 7857664 8041828 8851408 9993728 10067632 12804464 16083656 17702816 20135264 25608928 32167312 35405632 40270528 51217856 64334624 70811264 80541056 82428737 102435712 128669248 141622528 161082112 164857474 204871424 257338496 283245056 322164224 329714948 409742848 514676992 659429896 1029353984 1318859792 2637719584 5275439168 10550878336 21101756672 42203513344