Search a number
-
+
138283501488 = 2431113113714593
BaseRepresentation
bin1000000011001001010…
…1101100011110110000
3111012221012210201110020
42000302111230132300
54231201034021423
6143305423203440
712663536240316
oct2006225543660
9435835721406
10138283501488
1153711482430
1222972a46580
131006a089cc2
14699b6900b6
1538e51ae4e3
hex203256c7b0

138283501488 has 160 divisors (see below), whose sum is σ = 395576324352. Its totient is φ = 41277849600.

The previous prime is 138283501471. The next prime is 138283501529. The reversal of 138283501488 is 884105382831.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 138283501488.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9468720 + ... + 9483312.

Almost surely, 2138283501488 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 138283501488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197788162176).

138283501488 is an abundant number, since it is smaller than the sum of its proper divisors (257292822864).

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

138283501488 is a wasteful number, since it uses less digits than its factorization.

138283501488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14883 (or 14877 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The spelling of 138283501488 in words is "one hundred thirty-eight billion, two hundred eighty-three million, five hundred one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 131 132 137 176 262 264 274 393 411 524 528 548 786 822 1048 1096 1441 1507 1572 1644 2096 2192 2882 3014 3144 3288 4323 4521 5764 6028 6288 6576 8646 9042 11528 12056 14593 17292 17947 18084 23056 24112 29186 34584 35894 36168 43779 53841 58372 69168 71788 72336 87558 107682 116744 143576 160523 175116 197417 215364 233488 287152 321046 350232 394834 430728 481569 592251 642092 700464 789668 861456 963138 1184502 1284184 1579336 1911683 1926276 1999241 2369004 2568368 3158672 3823366 3852552 3998482 4738008 5735049 5997723 7646732 7705104 7996964 9476016 11470098 11995446 15293464 15993928 21028513 21991651 22940196 23990892 30586928 31987856 42057026 43983302 45880392 47981784 63085539 65974953 84114052 87966604 91760784 95963568 126171078 131949906 168228104 175933208 252342156 261900571 263899812 336456208 351866416 504684312 523801142 527799624 785701713 1009368624 1047602284 1055599248 1571403426 2095204568 2880906281 3142806852 4190409136 5761812562 6285613704 8642718843 11523625124 12571227408 17285437686 23047250248 34570875372 46094500496 69141750744 138283501488