Search a number
-
+
30323131220432 = 24234173127721559
BaseRepresentation
bin1101110010100001001110…
…11101110000000111010000
310222100212022011002112102002
412321100213131300013100
512433303233043023212
6144254130522413132
76246526313424161
oct671204735600720
9128325264075362
1030323131220432
119730a71062656
1234989ab3611a8
1313bc5c758212b
1476b90c5b7768
15378b93067ac2
hex1b94277701d0

30323131220432 has 160 divisors (see below), whose sum is σ = 63713807055360. Its totient is φ = 13943259095040.

The previous prime is 30323131220429. The next prime is 30323131220479. The reversal of 30323131220432 is 23402213132303.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 30323131220395 and 30323131220404.

It is a congruent number.

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, 1406507669 + ... + 1406529227.

It is an arithmetic number, because the mean of its divisors is an integer number (398211294096).

Almost surely, 230323131220432 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 30323131220432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31856903527680).

30323131220432 is an abundant number, since it is smaller than the sum of its proper divisors (33390675834928).

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

30323131220432 is a wasteful number, since it uses less digits than its factorization.

30323131220432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22981 (or 22975 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 30323131220432 its reverse (23402213132303), we get a palindrome (53725344352735).

The spelling of 30323131220432 in words is "thirty trillion, three hundred twenty-three billion, one hundred thirty-one million, two hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 41 46 73 82 92 146 164 184 292 328 368 584 656 943 1168 1277 1679 1886 2554 2993 3358 3772 5108 5986 6716 7544 10216 11972 13432 15088 20432 21559 23944 26864 29371 43118 47888 52357 58742 68839 86236 93221 104714 117484 137678 172472 186442 209428 234968 275356 344944 372884 418856 469936 495857 550712 745768 837712 883919 991714 1101424 1204211 1491536 1573807 1767838 1983428 2144083 2408422 3147614 3535676 3822061 3966856 4288166 4816844 6295228 7071352 7644122 7933712 8576332 9633688 12590456 14142704 15288244 17152664 19267376 20330137 25180912 27530843 30576488 34305328 36197561 40660274 55061686 61152976 64526087 72395122 81320548 87907403 110123372 129052174 144790244 162641096 175814806 220246744 258104348 289580488 325282192 351629612 440493488 516208696 579160976 633209389 703259224 1032417392 1128764563 1266418778 1406518448 1484100001 2009751539 2257529126 2532837556 2968200002 4019503078 4515058252 5065675112 5936400004 8039006156 9030116504 10131350224 11872800008 16078012312 18060233008 23745600016 25961584949 32156024624 46224285397 51923169898 82399813099 92448570794 103846339796 164799626198 184897141588 207692679592 329599252396 369794283176 415385359184 659198504792 739588566352 1318397009584 1895195701277 3790391402554 7580782805108 15161565610216 30323131220432