Search a number
-
+
970851190140 = 22325131921836509
BaseRepresentation
bin11100010000010110011…
…11011000010101111100
310102210221021210110110200
432020023033120111330
5111401300401041030
62022000342203500
7130066411646046
oct16101317302574
93383837713420
10970851190140
11344810206697
121381a8123590
137072136a660
1434dbd090a96
151a3c2726d60
hexe20b3d857c

970851190140 has 144 divisors (see below), whose sum is σ = 3338365648800. Its totient is φ = 226400914944.

The previous prime is 970851190117. The next prime is 970851190151. The reversal of 970851190140 is 41091158079.

It is a happy number.

970851190140 is a `hidden beast` number, since 9 + 7 + 0 + 8 + 511 + 90 + 1 + 40 = 666.

970851190140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 10873795 + ... + 10962714.

Almost surely, 2970851190140 is an apocalyptic number.

970851190140 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

970851190140 is an abundant number, since it is smaller than the sum of its proper divisors (2367514458660).

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

970851190140 is a wasteful number, since it uses less digits than its factorization.

970851190140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21836556 (or 21836551 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 970851190140 in words is "nine hundred seventy billion, eight hundred fifty-one million, one hundred ninety thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 342 380 390 468 494 570 585 684 741 780 855 988 1140 1170 1235 1482 1710 2223 2340 2470 2964 3420 3705 4446 4940 7410 8892 11115 14820 22230 44460 21836509 43673018 65509527 87346036 109182545 131019054 196528581 218365090 262038108 283874617 327547635 393057162 414893671 436730180 567749234 655095270 786114324 829787342 851623851 982642905 1135498468 1244681013 1310190540 1419373085 1659574684 1703247702 1965285810 2074468355 2489362026 2554871553 2838746170 3406495404 3734043039 3930571620 4148936710 4258119255 4978724052 5109743106 5393617723 5677492340 6223405065 7468086078 8297873420 8516238510 10219486212 10787235446 12446810130 12774357765 14936172156 16180853169 17032477020 18670215195 21574470892 24893620260 25548715530 26968088615 32361706338 37340430390 48542559507 51097431060 53936177230 64723412676 74680860780 80904265845 97085119014 107872354460 161808531690 194170238028 242712797535 323617063380 485425595070 970851190140