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41011434320 = 2452367794211
BaseRepresentation
bin100110001100011110…
…001101001101010000
310220212011020201112212
4212030132031031100
51132442411344240
630501305211252
72651205303623
oct461436151520
9126764221485
1041011434320
111643598167a
127b46790b28
133b377940cc
141db0a53dba
1511006c6165
hex98c78d350

41011434320 has 160 divisors (see below), whose sum is σ = 102284881920. Its totient is φ = 15257848320.

The previous prime is 41011434301. The next prime is 41011434371. The reversal of 41011434320 is 2343411014.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

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, 9737015 + ... + 9741225.

It is an arithmetic number, because the mean of its divisors is an integer number (639280512).

Almost surely, 241011434320 is an apocalyptic number.

41011434320 is a gapful number since it is divisible by the number (40) 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 41011434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51142440960).

41011434320 is an abundant number, since it is smaller than the sum of its proper divisors (61273447600).

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

41011434320 is a wasteful number, since it uses less digits than its factorization.

41011434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4393 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 41011434320 its reverse (2343411014), we get a palindrome (43354845334).

The spelling of 41011434320 in words is "forty-one billion, eleven million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 67 79 80 92 115 134 158 184 230 268 316 335 368 395 460 536 632 670 790 920 1072 1264 1340 1541 1580 1817 1840 2680 3082 3160 3634 4211 5293 5360 6164 6320 7268 7705 8422 9085 10586 12328 14536 15410 16844 18170 21055 21172 24656 26465 29072 30820 33688 36340 42110 42344 52930 61640 67376 72680 84220 84688 96853 105860 121739 123280 145360 168440 193706 211720 243478 282137 332669 336880 387412 423440 484265 486956 564274 608695 665338 774824 968530 973912 1128548 1217390 1330676 1410685 1549648 1663345 1937060 1947824 2257096 2434780 2661352 2821370 3326690 3874120 4514192 4869560 5322704 5642740 6489151 6653380 7651387 7748240 9739120 11285480 12978302 13306760 15302774 22288823 22570960 25956604 26613520 30605548 32445755 38256935 44577646 51913208 61211096 64891510 76513870 89155292 103826416 111444115 122422192 129783020 153027740 178310584 222888230 259566040 306055480 356621168 445776460 512642929 519132080 612110960 891552920 1025285858 1783105840 2050571716 2563214645 4101143432 5126429290 8202286864 10252858580 20505717160 41011434320