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138350239248 = 243136727112211
BaseRepresentation
bin1000000011011001010…
…0010001111000010000
3111020002212101100110010
42000312110101320100
54231320130123443
6143320205434520
712665306426124
oct2006624217020
9436085340403
10138350239248
1153746115501
122299126ba40
131007ab559c0
1469a64a3584
1538eae93733
hex2036511e10

138350239248 has 160 divisors (see below), whose sum is σ = 392115791872. Its totient is φ = 41775782400.

The previous prime is 138350239219. The next prime is 138350239253. The reversal of 138350239248 is 842932053831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 138350239197 and 138350239206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11323863 + ... + 11336073.

Almost surely, 2138350239248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138350239248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196057895936).

138350239248 is an abundant number, since it is smaller than the sum of its proper divisors (253765552624).

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

138350239248 is a wasteful number, since it uses less digits than its factorization.

138350239248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12573 (or 12567 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 138350239248 in words is "one hundred thirty-eight billion, three hundred fifty million, two hundred thirty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 67 78 104 134 156 201 208 268 271 312 402 536 542 624 804 813 871 1072 1084 1608 1626 1742 2168 2613 3216 3252 3484 3523 4336 5226 6504 6968 7046 10452 10569 12211 13008 13936 14092 18157 20904 21138 24422 28184 36314 36633 41808 42276 48844 54471 56368 72628 73266 84552 97688 108942 145256 146532 158743 169104 195376 217884 236041 290512 293064 317486 435768 472082 476229 586128 634972 708123 818137 871536 944164 952458 1269944 1416246 1636274 1888328 1904916 2454411 2539888 2832492 3272548 3309181 3776656 3809832 4908822 5664984 6545096 6618362 7619664 9817644 9927543 10635781 11329968 13090192 13236724 19635288 19855086 21271562 26473448 31907343 39270576 39710172 42543124 43019353 52946896 63814686 79420344 85086248 86038706 127629372 129058059 158840688 170172496 172077412 221715127 255258744 258116118 344154824 443430254 510517488 516232236 665145381 688309648 886860508 1032464472 1330290762 1773721016 2064928944 2660581524 2882296651 3547442032 5321163048 5764593302 8646889953 10642326096 11529186604 17293779906 23058373208 34587559812 46116746416 69175119624 138350239248