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154400135340 = 2235111151203249
BaseRepresentation
bin1000111111001011110…
…1110001100010101100
3112202112102002112211010
42033302331301202230
510012202413312330
6154532550425220
714104115332113
oct2176275614254
9482472075733
10154400135340
115a53193aa40
1225b10362210
131173805bc39
147689d02c7a
15403a0433b0
hex23f2f718ac

154400135340 has 96 divisors (see below), whose sum is σ = 472034304000. Its totient is φ = 37397632000.

The previous prime is 154400135291. The next prime is 154400135437. The reversal of 154400135340 is 43531004451.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 154400135298 and 154400135307.

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, 658036 + ... + 861284.

It is an arithmetic number, because the mean of its divisors is an integer number (4917024000).

Almost surely, 2154400135340 is an apocalyptic number.

154400135340 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 154400135340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236017152000).

154400135340 is an abundant number, since it is smaller than the sum of its proper divisors (317634168660).

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

154400135340 is a wasteful number, since it uses less digits than its factorization.

154400135340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204423 (or 204421 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 154400135340 its reverse (43531004451), we get a palindrome (197931139791).

The spelling of 154400135340 in words is "one hundred fifty-four billion, four hundred million, one hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1151 2302 3453 4604 5755 6906 11510 12661 13812 17265 23020 25322 34530 37983 50644 63305 69060 75966 126610 151932 189915 203249 253220 379830 406498 609747 759660 812996 1016245 1219494 2032490 2235739 2438988 3048735 4064980 4471478 6097470 6707217 8942956 11178695 12194940 13414434 22357390 26828868 33536085 44714780 67072170 134144340 233939599 467879198 701818797 935758396 1169697995 1403637594 2339395990 2573335589 2807275188 3509093985 4678791980 5146671178 7018187970 7720006767 10293342356 12866677945 14036375940 15440013534 25733355890 30880027068 38600033835 51466711780 77200067670 154400135340