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2030233414140 = 22325471571528537
BaseRepresentation
bin11101100010110011010…
…101110110100111111100
321012002101110100102100100
4131202303111312213330
5231230404223223030
64152402032001100
7266452035166431
oct35426325664774
97162343312310
102030233414140
1171302091a368
12289581090190
131195b10b2739
1470399cd7b88
1537c27361360
hex1d8b35769fc

2030233414140 has 144 divisors (see below), whose sum is σ = 6329467976832. Its totient is φ = 526501168128.

The previous prime is 2030233414051. The next prime is 2030233414169. The reversal of 2030233414140 is 414143320302.

2030233414140 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 233 + 414 + 14 + 0 = 666.

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, 563952 + ... + 2092488.

It is an arithmetic number, because the mean of its divisors is an integer number (43954638728).

Almost surely, 22030233414140 is an apocalyptic number.

2030233414140 is a gapful number since it is divisible by the number (20) 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 2030233414140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164733988416).

2030233414140 is an abundant number, since it is smaller than the sum of its proper divisors (4299234562692).

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

2030233414140 is a wasteful number, since it uses less digits than its factorization.

2030233414140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528756 (or 1528751 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2030233414140 its reverse (414143320302), we get a palindrome (2444376734442).

It can be divided in two parts, 203023 and 3414140, that added together give a palindrome (3617163).

The spelling of 2030233414140 in words is "two trillion, thirty billion, two hundred thirty-three million, four hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 157 180 188 235 282 314 423 470 471 564 628 705 785 846 940 942 1410 1413 1570 1692 1884 2115 2355 2820 2826 3140 4230 4710 5652 7065 7379 8460 9420 14130 14758 22137 28260 29516 36895 44274 66411 73790 88548 110685 132822 147580 221370 265644 332055 442740 664110 1328220 1528537 3057074 4585611 6114148 7642685 9171222 13756833 15285370 18342444 22928055 27513666 30570740 45856110 55027332 68784165 71841239 91712220 137568330 143682478 215523717 239980309 275136660 287364956 359206195 431047434 479960618 646571151 718412390 719940927 862094868 959921236 1077618585 1199901545 1293142302 1436824780 1439881854 2155237170 2159822781 2399803090 2586284604 2879763708 3232855755 3599704635 4310474340 4319645562 4799606180 6465711510 7199409270 8639291124 10799113905 11279074523 12931423020 14398818540 21598227810 22558149046 33837223569 43196455620 45116298092 56395372615 67674447138 101511670707 112790745230 135348894276 169186117845 203023341414 225581490460 338372235690 406046682828 507558353535 676744471380 1015116707070 2030233414140