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34010103737740 = 22513757172798007
BaseRepresentation
bin1111011101110100110000…
…01001101110110110001100
311110102100000121100111222011
413232322120021232312030
513424210143024101430
6200200005335231004
710110102034634554
oct756723011566614
9143370017314864
1034010103737740
11a922670a113a9
123993476b18464
1315c91a6577010
14858152534164
153dea32cd422a
hex1eee9826ed8c

34010103737740 has 48 divisors (see below), whose sum is σ = 77016763357632. Its totient is φ = 12540988083456.

The previous prime is 34010103737723. The next prime is 34010103737749. The reversal of 34010103737740 is 4773730101043.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34010103737693 and 34010103737702.

It is not an unprimeable number, because it can be changed into a prime (34010103737749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86202184 + ... + 86595823.

It is an arithmetic number, because the mean of its divisors is an integer number (1604515903284).

Almost surely, 234010103737740 is an apocalyptic number.

It is an amenable number.

34010103737740 is an abundant number, since it is smaller than the sum of its proper divisors (43006659619892).

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

34010103737740 is a wasteful number, since it uses less digits than its factorization.

34010103737740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172798786 (or 172798784 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 40.

Adding to 34010103737740 its reverse (4773730101043), we get a palindrome (38783833838783).

The spelling of 34010103737740 in words is "thirty-four trillion, ten billion, one hundred three million, seven hundred thirty-seven thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 757 1514 3028 3785 7570 9841 15140 19682 39364 49205 98410 196820 172798007 345596014 691192028 863990035 1727980070 2246374091 3455960140 4492748182 8985496364 11231870455 22463740910 44927481820 130808091299 261616182598 523232365196 654040456495 1308080912990 1700505186887 2616161825980 3401010373774 6802020747548 8502525934435 17005051868870 34010103737740