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146032341520 = 245132322672693
BaseRepresentation
bin1000100000000000110…
…1001011001000010000
3111221221020121120122111
42020000031023020100
54343033234412040
6151030351515104
713356550264552
oct2100015131020
9457836546574
10146032341520
1156a284a465a
1224375b28a94
1310a03572750
1470d48594d2
153bea5e6dea
hex220034b210

146032341520 has 160 divisors (see below), whose sum is σ = 381850060032. Its totient is φ = 51533408256.

The previous prime is 146032341487. The next prime is 146032341527. The reversal of 146032341520 is 25143230641.

It is not an unprimeable number, because it can be changed into a prime (146032341527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54225294 + ... + 54227986.

Almost surely, 2146032341520 is an apocalyptic number.

146032341520 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 146032341520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190925030016).

146032341520 is an abundant number, since it is smaller than the sum of its proper divisors (235817718512).

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

146032341520 is a wasteful number, since it uses less digits than its factorization.

146032341520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5009 (or 5003 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 146032341520 in words is "one hundred forty-six billion, thirty-two million, three hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 260 299 368 460 520 598 920 1040 1196 1495 1840 2267 2392 2693 2990 4534 4784 5386 5980 9068 10772 11335 11960 13465 18136 21544 22670 23920 26930 29471 35009 36272 43088 45340 52141 53860 58942 61939 70018 90680 104282 107720 117884 123878 140036 147355 175045 181360 208564 215440 235768 247756 260705 280072 294710 309695 350090 417128 471536 495512 521410 560144 589420 619390 677833 700180 805207 834256 991024 1042820 1178840 1238780 1355666 1400360 1610414 2085640 2357680 2477560 2711332 2800720 3220828 3389165 4026035 4171280 4955120 5422664 6105031 6441656 6778330 8052070 10845328 12210062 12883312 13556660 16104140 24420124 27113320 30525155 32208280 48840248 54226640 61050310 64416560 79365403 97680496 122100620 140415713 158730806 244201240 280831426 317461612 396827015 488402480 561662852 634923224 702078565 793654030 1123325704 1269846448 1404157130 1587308060 1825404269 2246651408 2808314260 3174616120 3650808538 5616628520 6349232240 7301617076 9127021345 11233257040 14603234152 18254042690 29206468304 36508085380 73016170760 146032341520