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337013131444 = 221137213142709
BaseRepresentation
bin1001110011101111000…
…11000100100010110100
31012012220000122220212021
410321313203010202310
521010200330201234
6414453253002524
733230333231503
oct4716743044264
91165800586767
10337013131444
1111aa21143830
1255395023444
1325a1b146912
1412450b6483a
158b76d479b4
hex4e778c48b4

337013131444 has 72 divisors (see below), whose sum is σ = 666310851360. Its totient is φ = 147906345600.

The previous prime is 337013131439. The next prime is 337013131451. The reversal of 337013131444 is 444131310733.

It is a super-2 number, since 2×3370131314442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7869562 + ... + 7912270.

It is an arithmetic number, because the mean of its divisors is an integer number (9254317380).

Almost surely, 2337013131444 is an apocalyptic number.

It is an amenable number.

337013131444 is a deficient number, since it is larger than the sum of its proper divisors (329297719916).

337013131444 is a wasteful number, since it uses less digits than its factorization.

337013131444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42929 (or 42890 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The spelling of 337013131444 in words is "three hundred thirty-seven billion, thirteen million, one hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 37 44 74 131 148 262 407 524 814 1369 1441 1628 2738 2882 4847 5476 5764 9694 15059 19388 30118 42709 53317 60236 85418 106634 170836 179339 213268 358678 469799 717356 939598 1580233 1879196 1972729 3160466 3945458 5594879 6320932 7890916 11189758 17382563 22379516 34765126 58468621 61543669 69530252 116937242 123087338 207010523 233874484 246174676 414021046 643154831 828042092 1286309662 2277115753 2572619324 4554231506 7659389351 9108463012 15318778702 30637557404 84253282861 168506565722 337013131444