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3020146205940 = 22325611671647059
BaseRepresentation
bin101011111100101110101…
…111011110010011110100
3101200201112011220120112200
4223330232233132103310
5343440224412042230
610231234102344500
7431125016116263
oct53745657362364
911621464816480
103020146205940
11a64922886456
124093a8a2b130
1318ba4c5a8816
14a626679a5da
1553863240160
hex2bf2ebde4f4

3020146205940 has 144 divisors (see below), whose sum is σ = 9367054220160. Its totient is φ = 787425488640.

The previous prime is 3020146205917. The next prime is 3020146205963. The reversal of 3020146205940 is 495026410203.

It is a happy number.

3020146205940 is a `hidden beast` number, since 3 + 0 + 2 + 0 + 1 + 4 + 62 + 0 + 594 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3020146205917) and next prime (3020146205963).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3020146205895 and 3020146205904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1010131 + ... + 2657189.

It is an arithmetic number, because the mean of its divisors is an integer number (65048987640).

Almost surely, 23020146205940 is an apocalyptic number.

3020146205940 is a gapful number since it is divisible by the number (30) 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 3020146205940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4683527110080).

3020146205940 is an abundant number, since it is smaller than the sum of its proper divisors (6346908014220).

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

3020146205940 is a wasteful number, since it uses less digits than its factorization.

3020146205940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647302 (or 1647297 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 3020146205940 in words is "three trillion, twenty billion, one hundred forty-six million, two hundred five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 167 180 183 244 305 334 366 501 549 610 668 732 835 915 1002 1098 1220 1503 1670 1830 2004 2196 2505 2745 3006 3340 3660 5010 5490 6012 7515 10020 10187 10980 15030 20374 30060 30561 40748 50935 61122 91683 101870 122244 152805 183366 203740 305610 366732 458415 611220 916830 1647059 1833660 3294118 4941177 6588236 8235295 9882354 14823531 16470590 19764708 24705885 29647062 32941180 49411770 59294124 74117655 98823540 100470599 148235310 200941198 275058853 296470620 301411797 401882396 502352995 550117706 602823594 825176559 904235391 1004705990 1100235412 1205647188 1375294265 1507058985 1650353118 1808470782 2009411980 2475529677 2750588530 3014117970 3300706236 3616941564 4125882795 4521176955 4951059354 5501177060 6028235940 8251765590 9042353910 9902118708 12377648385 16503531180 16778590033 18084707820 24755296770 33557180066 49510593540 50335770099 67114360132 83892950165 100671540198 151007310297 167785900330 201343080396 251678850495 302014620594 335571800660 503357700990 604029241188 755036551485 1006715401980 1510073102970 3020146205940