Search a number
-
+
148340837760 = 2735172144893
BaseRepresentation
bin1000101000100111001…
…1011000110110000000
3112011220010110100011020
42022021303120312000
54412300223302020
6152051414545440
713501011213363
oct2121163306600
9464803410136
10148340837760
1157a02598a95
12248bb068280
1310cb0900b5b
14727329a0da
153cd30e5c40
hex2289cd8d80

148340837760 has 128 divisors (see below), whose sum is σ = 473121704160. Its totient is φ = 39533690880.

The previous prime is 148340837741. The next prime is 148340837779. The reversal of 148340837760 is 67738043841.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (148340837741) and next prime (148340837779).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3281874 + ... + 3326766.

Almost surely, 2148340837760 is an apocalyptic number.

148340837760 is a gapful number since it is divisible by the number (10) 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 148340837760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236560852080).

148340837760 is an abundant number, since it is smaller than the sum of its proper divisors (324780866400).

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

148340837760 is a wasteful number, since it uses less digits than its factorization.

148340837760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46636 (or 46624 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 148340837760 in words is "one hundred forty-eight billion, three hundred forty million, eight hundred thirty-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1721 1920 3442 5163 6884 8605 10326 13768 17210 20652 25815 27536 34420 41304 44893 51630 55072 68840 82608 89786 103260 110144 134679 137680 165216 179572 206520 220288 224465 269358 275360 330432 359144 413040 448930 538716 550720 660864 673395 718288 826080 897860 1077432 1101440 1346790 1436576 1652160 1795720 2154864 2693580 2873152 3304320 3591440 4309728 5387160 5746304 7182880 8619456 10774320 14365760 17238912 21548640 28731520 43097280 77260853 86194560 154521706 231782559 309043412 386304265 463565118 618086824 772608530 927130236 1158912795 1236173648 1545217060 1854260472 2317825590 2472347296 3090434120 3708520944 4635651180 4944694592 6180868240 7417041888 9271302360 9889389184 12361736480 14834083776 18542604720 24723472960 29668167552 37085209440 49446945920 74170418880 148340837760