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150412321153420 = 22517127491214449
BaseRepresentation
bin100010001100110010011000…
…111110001110000110001100
3201201120021111021110121102221
4202030302120332032012030
5124203323413203402140
61251522244425225124
743452634351552444
oct4214623076160614
9651507437417387
10150412321153420
1143a20564060587
1214a52aba0321a4
1365c0a89a34c81
14291ddd0b19124
15125c88288514a
hex88cc98f8e18c

150412321153420 has 144 divisors (see below), whose sum is σ = 337790946124800. Its totient is φ = 56061642792960.

The previous prime is 150412321153387. The next prime is 150412321153421. The reversal of 150412321153420 is 24351123214051.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (150412321153421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10409870356 + ... + 10409884804.

It is an arithmetic number, because the mean of its divisors is an integer number (2345770459200).

Almost surely, 2150412321153420 is an apocalyptic number.

150412321153420 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 150412321153420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168895473062400).

150412321153420 is an abundant number, since it is smaller than the sum of its proper divisors (187378624971380).

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

150412321153420 is a wasteful number, since it uses less digits than its factorization.

150412321153420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15584 (or 15091 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 150412321153420 its reverse (24351123214051), we get a palindrome (174763444367471).

The spelling of 150412321153420 in words is "one hundred fifty trillion, four hundred twelve billion, three hundred twenty-one million, one hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 127 170 254 340 491 508 635 982 1270 1964 2159 2455 2540 4318 4910 8347 8636 9820 10795 14449 16694 21590 28898 33388 41735 43180 57796 62357 72245 83470 124714 144490 166940 241081 245633 249428 288980 311785 482162 491266 623570 964324 982532 1060069 1205405 1228165 1247140 1835023 2120138 2410810 2456330 3670046 4098377 4240276 4821620 4912660 5300345 7094459 7340092 8196754 9175115 10600690 14188918 16393508 18350230 20491885 21201380 28377836 30617287 31195391 35472295 36700460 40983770 61234574 62390782 70944590 81967540 120605803 122469148 124781564 141889180 153086435 155976955 241211606 306172870 311953910 482423212 520493879 603029015 612345740 623907820 900996293 1040987758 1206058030 1801992586 2081975516 2412116060 2602469395 3483379369 3603985172 4504981465 5204938790 6966758738 9009962930 10409877580 13933517476 15316936981 17416896845 18019925860 30633873962 34833793690 59217449273 61267747924 69667587380 76584684905 118434898546 153169369810 236869797092 296087246365 306338739620 442389179863 592174492730 884778359726 1184348985460 1769556719452 2211945899315 4423891798630 7520616057671 8847783597260 15041232115342 30082464230684 37603080288355 75206160576710 150412321153420